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"Times" ? ? ? 0 ? 1 1 "Times" 12 ? ? 5 0 c n 1 1 0 0 k 468 i"?n page ?p?a" ? 1 26177 26178 26115 26178 1 1 1 1 0 0 8405120 0 -1 1 0 -1 -1 -1 -1 -1 1 1 0 0 2 0 ? ? ? ? ? ? ? ? ~Q ]|Expr|[#b @`bb#_b#_b#_})!# b'4`fb#_}" *|: ;bP8&c0!*`g| |Ec"?.c!_8| |!!!!"!!!#7!!!!!!!!!!!!!#>!!!!-!!!!!!!!!!!!!jN!!!%c7SQ;o!!*'"| |!!"+n!!!!$!!!!"!!!!K!!!"8!!!!!!!!-%!!!*$!!!$b!!!#g!!!!!!!!!!| |!!!!!!!M9]!!B3N!,2F,!+c.R!+>k%!,)@S!)3G9!,DRC!-/'N!)rpu!+c.D| |!-/'X!-8-S!$D8`!,_d.!+c.P!+>kJ!-A3N!-S?V!%\+]!)*A8!(-`[!!!!!| |!!!!m!!")D!!!!!!!!!!!!!#>!!!!-!!!!!!!!!!!!!#?!!!!.!6bEc!!!!!| |!!!!!5C`_6!!!!!!!!!!5C`_6!!!!!!!!!!!<<*!!!!!!!!!"0!!!!I!!!"X| |!!"'b!!!!I!!!#?!!!!.!#P\:!!!!!!!"'b!!!!!!!!!!!!!!!!!!!!!!!!!| |!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!| |!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!| |!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!| |!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!| 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;bP7&c0!*Trigonometry| |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1 2 ~V?f276 (arccsc)~p0 3 ~V?f278 (arccot)~p0 3 ~V?f256 (sin)~p0 3 ~V?f257 (cos)~p0 3 ~V?f258 (tan)~p0 3 ~V?f261 (sec)~p0 3 ~V?f260 (csc)~p0 3 ~V?f262 (cot)~p0 3 ~V?f272 (arcsin)~p0 3 ~V?f273 (arccos)~p0 3 ~V?f274 (arctan)~p0 3 ~V?f277 (arcsec)~p0 3 ~Q ]|Expr|[#b @`bb#_b#_b#_})!# b$L" *|: ;bP7&c0!*Hyperbolic| |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1 2 ~V?f309 (arcsech)~p0 3 ~V?f304 (arcsinh)~p0 3 ~V?f294 (coth)~p0 3 ~V?f310 (arccoth)~p0 3 ~V?f306 (arctanh)~p0 3 ~V?f293 (sech)~p0 3 ~V?f288 (sinh)~p0 3 ~V?f289 (cosh)~p0 3 ~V?f290 (tanh)~p0 3 ~V?f305 (arccosh)~p0 3 ~V?f308 (arccsch)~p0 3 ~V?f292 (csch)~p0 3 ~Q ]|Expr|[#b @`bb#_b#_b#_})%# b$L" *|: ;bP7&c0!*Logarithms ,F Powers| |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1 2 ~V?f32 (log)~p0 3 ~V?f307 (ln)~p0 3 ~V?f291 (exp)~p0 3 ~V?c2 (e)~p0 3 ~Q ]|Expr|[#b @`bb#_b#_b#_})## b$L" *|: ;bP7&c0!*Standard Rules| |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1 2 ~Q ]|Expr|[#b @`bb#_b#_b#_})%# b$L" *|: ;bP7&c0!*Logarithms ,F Powers| |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1 3 ~Ht(?x^(-?y)):(1/?x^?y)~p0 4 ~Hs(exp(?z)):(e^?z)~p0 4 ~Hs(e^(ln(?x))):(?x)~p0 4 ~Hs(10^(log(?x))):(?x)~p0 4 ~Hs(?y^(log_?y(?x))):(?x)~p0 4 ~Hs(ln(e^?x)):(?x)~p0 4 ~Hs(log(10^?x)):(?x)~p0 4 ~Hs(log_?y(?y^?x)):(?x)~p0 4 ~He(ln(?u*?v)):(ln(?u)+ln(?v))~p0 4 ~He(log(?u*?v)):(log(?u)+log(?v))~p0 4 ~He(log_?y(?u*?v)):(log_?y(?u)+log_?y(?v))~p0 4 ~He(ln(?u/?v)):(ln(?u)-ln(?v))~p0 4 ~He(log(?u/?v)):(log(?u)-log(?v))~p0 4 ~He(log_?y(?u/?v)):(log_?y(?u)-log_?y(?v))~p0 4 ~He(ln(?u^?v)):(?v*ln(?u))~p0 4 ~He(log(?u^?v)):(?v*log(?u))~p0 4 ~He(log_?y(?u^?v)):(?v*log_?y(?u))~p0 4 ~He(ln(sqrt(?u))):(1/2*ln(?u))~p0 4 ~He(log(sqrt(?u))):(1/2*log(?u))~p0 4 ~He(log_?y(sqrt(?u))):(1/2*log_?y(?u))~p0 4 ~He(?z^(?x+?y)):(?z^?x*?z^?y)~p0 4 ~He(?z^(?x-?y)):(?z^?x*?z^(-?y))~p0 4 ~Q ]|Expr|[#b @`bb#_b#_b#_})!# b$L" *|: ;bP7&c0!*Trigonometry| |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1 3 ~Q ]|Expr|[#b @`bb#_b#_b#_})+# b$L" *|: ;bP7&c0!*Simplify ,M negation| | and common zeros}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1 4 ~Hs(sin(-?x)):(-sin(?x))~p0 5 ~Hs(cos(-?x)):(cos(?x))~p0 5 ~Hs(tan(-?x)):(-tan(?x))~p0 5 ~Hs(sin('p)):(0)~p0 5 ~Hs(sin(?n*'p)):(0)~p0 5 ~Hs(cos(1/2*'p)):(0)~p0 5 ~Hs(cos(?n/2*'p)):(0)~p0 5 ~Hs(-(cos(?x))^2-(sin(?x))^2):(-1)~p0 5 ~Hs(cos('p/2)):(0)~p0 5 ~Q ]|Expr|[#b @`bb#_b#_b#_})'# b$L" *|: ;bP7&c0!*Transform to basic| | types}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1 4 ~Ht(tan(?x)):((sin(?x))/(cos(?x)))~p0 5 ~Ht(csc(?x)):(1/(sin(?x)))~p0 5 ~Ht(sin(?x)):(1/(csc(?x)))~p0 5 ~Ht(sec(?x)):(1/(cos(?x)))~p0 5 ~Ht(cos(?x)):(1/(sec(?x)))~p0 5 ~Ht(cot(?x)):((cos(?x))/(sin(?x)))~p0 5 ~Q ]|Expr|[#b @`bb#_b#_b#_})## b$L" *|: ;bP7&c0!*Trig Addition| |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1 4 ~Ht(cos(?x+?y)):(cos(?x)*cos(?y)-sin(?x)*sin(?y))~p0 5 ~Ht(sin(?x+?y)):(cos(?x)*sin(?y)+sin(?x)*cos(?y))~p0 5 ~Ht(cos(2*?x)):(2*(cos(?x))^2-1)~p0 5 ~Ht(sin(2*?x)):(2*cos(?x)*sin(?x))~p0 5 ~Ht(sin(?n*?x)):(cos((?n-1)*?x)*sin(?x)+cos(?x)*~ sin((?n-1)*?x))~p0 5 ~Ht(cos(?n*?x)):(cos(?x)*cos((?n-1)*?x)-sin(?x)*~ sin((?n-1)*?x))~p0 5 ~Q ]|Expr|[#b @`bb#_b#_b#_})/# b$L" *|: ;bP7&c0!*Transform ,M into| | another flavor of trig function}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1 4 ~Ht((sin(?x))^2):(1-(cos(?x))^2)~p0 5 ~Ht((cos(?x))^2):(1-(sin(?x))^2)~p0 5 ~Ht((tan(?x))^2):((sec(?x))^2-1)~p0 5 ~Ht((sec(?x))^2):((tan(?x))^2+1)~p0 5 ~Ht((csc(?x))^2):((cot(?x))^2+1)~p0 5 ~Ht((cot(?x))^2):((csc(?x))^2-1)~p0 5 ~Hs((sin(?x))^2+(cos(?x))^2):(1)~p0 5 ~Q ]|Expr|[#b @`bb#_b#_b#_})b @# b%4" *|: ;bP7&c0!*substituting | |z,]tan,Hx,O2,I into a rational function in sin,Hx,I and cos,H| |x,I}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1 4 ~Hs(cos(2*arctan(?z))):((1-?z^2)/(1+?z^2))~p0 5 ~Hs(sin(2*arctan(?z))):(2*?z/(1+?z^2))~p0 5 ~Q ]|Expr|[#b @`bb#_b#_b#_})## b$L" *|: ;bP7&c0!*Other rules| |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1 4 ~Ht((cos(?x))^2):(1/2*(cos(2*?x)+1))~p0 5 ~Ht((sin(?x))^2):(1/2*(-cos(2*?x)+1))~p0 5 ~Ht(cos(?x)*sin(?x)):(1/2*sin(2*?x))~p0 5 ~Hs(sin(arccos(?x))):(sqrt(-?x^2+1))~p0 5 ~Hs(cos(arcsin(?x))):(sqrt(-?x^2+1))~p0 5 ~Q ]|Expr|[#b @`bb#_b#_b#_})!# b!T" *|: ;bP7&c0!*Hyperbolic| |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1 3 ~Q ]|Expr|[#b @`bb#_b#_b#_})+# b$L" *|: ;bP7&c0!*Simplify ,M negation| | and common zeros}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1 4 ~Hs(sinh(-?x)):(-sinh(?x))~p0 5 ~Hs(cosh(-?x)):(cosh(?x))~p0 5 ~Hs(tanh(-?x)):(-tanh(?x))~p0 5 ~Q ]|Expr|[#b @`bb#_b#_b#_})'# b$L" *|: ;bP7&c0!*Transform into | |other types}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1 4 ~Ht((sinh(?x))^2):((cosh(?x))^2-1)~p0 5 ~Ht((cosh(?x))^2):(1+(sinh(?x))^2)~p0 5 ~Ht((tanh(?x))^2):(1-(sech(?x))^2)~p0 5 ~Ht(sinh(?x)):((e^?x-e^(-?x))/2)~p0 5 ~Ht(cosh(?x)):((e^?x+e^(-?x))/2)~p0 5 ~Ht(tanh(?x)):((e^?x-e^(-?x))/(e^?x+e^(-?x)))~p0 5 ~Ht(tanh(?x)):((sinh(?x))/(cosh(?x)))~p0 5 ~Hs((cosh(?x))^2-(sinh(?x))^2):(1)~p0 5 ~Hs(-(cosh(?x))^2+(sinh(?x))^2):(-1)~p0 5 ~Q ]|Expr|[#b @`bb#_b#_b#_})%# b$L" *|: ;bP7&c0!*Other hyperbolic| | rules}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1 4 ~Ht((cosh(?x))^2):(1/2*(cosh(2*?x)+1))~p0 5 ~Ht((sinh(?x))^2):(1/2*(cosh(2*?x)-1))~p0 5 ~Ht(sinh(2*?x)):(2*cosh(?x)*sinh(?x))~p0 5 ~Ht(cosh(2*?x)):(2*(cosh(?x))^2-1)~p0 5 ~Q ]|Expr|[#b @`bb#_b#_b#_})!# b'4" *|: ;bP7&c0!*Constants| |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1 2 ~V?c0 (C)~p0 3 ~V?c5 ('o)~p0 3 ~V?c1 ('p)~p0 3 ~V?c0 (c)~p0 3 ~V?c0 (b)~p0 3 ~V?c0 (a)~p0 3 ~V?c4 (i)~p0 3 ~V?c3 ('N)~p0 3 ~Q ]|Expr|[#b @`bb#_b#_b#_})!# b'4" *|: ;bP7&c0!*Variables| |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1 2 ~V?v0 (n)~p0 3 ~V?v0 (h)~p0 3 ~V?v0 (v)~p0 3 ~V?v0 (u)~p0 3 ~V?v0 (w)~p0 3 ~V?v0 ('f)~p0 3 ~V?v0 ('r)~p0 3 ~V?v0 ('q)~p0 3 ~V?v0 (r)~p0 3 ~V?v0 (t)~p0 3 ~V?v0 (z)~p0 3 ~V?v0 (y)~p0 3 ~V?v0 (x)~p0 3 ~V?v0 (k)~p0 3 ~Q ]|Expr|[#b @`bb#_b#_b#_})!# b'4" *|: ;bP7&c0!*Functions| |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1 2 ~V?f162 (max)~p0 3 ~V?f161 (min)~p0 3 ~V?f132 (FromSpherical)~p0 3 ~V?f130 (FromCylindrical)~p0 3 ~V?f128 (FromPolar)~p0 3 ~V?f144 (RowsOf)~p0 3 ~V?f146 (ColsOf)~p0 3 ~Q ]|Expr|[#b @`bb#_b#_b#_}`f#})-# b'4" *|: ;bP:&c0!)Weitere Aufgaben| | zum Thema Produkte und Summen}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0 0 ~Q ]|Expr|[#b @`bb#_b#_b#_}) # b'4}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0 0 ~Q ]|Expr|[#b @`bb#_b#_b#_})## b'4" *|: ;bP8&c0!*4c,I| |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0 0 ~A(6*a^3*c^2+13*a^3*5*c^2-6*a*c^2*2.5*a^2-7*a^~ 2*c*2*a*c)~p0 255 ~Q ]|Expr|[#b @`bb#_b#_b#_}) # b'4}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0 0 ~Q ]|Expr|[#b @`bb#_b#_b#_})## b'4" *|: ;bP8&c0!*4d,I| |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0 0 ~A((2*x)^2*x*y^2-(5*x^3*y^4)/y^2+(-6*x*y)*0.5*~ x^2)~p0 255 ~Q ]|Expr|[#b @`bb#_b#_b#_}) # b'4}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0 0 ~Q ]|Expr|[#b @`bb#_b#_b#_})## b'4" *|: ;bP8&c0!*4e,I| |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0 0 ~A(36*x^3*y^3/(12*x*y)-7*x^2*y*5*y+20*x*y^2*0.5*~ x)~p0 255 ~Q ]|Expr|[#b @`bb#_b#_b#_}) # b'4}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0 0 ~Q ]|Expr|[#b @`bb#_b#_b#_})## b'4" *|: ;bP8&c0!*4f,I| |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0 0 ~A((3*u*v)^3/(6*u^1)+(1.5*u*v)^2*6*v-v^3*u*8*u)~p0 255 ~Q ]|Expr|[#b @`bb#_b#_b#_}) # b'4}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0 0 ~Q ]|Expr|[#b @`bb#_b#_b#_})2# b'4" *|: ;bP8&c0!*L/Vsungen,Z ,Hauf| | die Sprechblase links doppelklicken zum /6ffnen,I| |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0 0 ~Q ]|Expr|[#b @`bb#_b#_b#_})## b'4" *|: ;bP8&c0!*4c,I| |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1 0 ~A(6*a^3*c^2+13*a^3*5*c^2-6*a*c^2*2.5*a^2-7*a^~ 2*c*2*a*c=6*a^3*c^2+65*a^3*c^2-6*a*c^2*2.5*a^2-~ 7*a^2*c*2*a*c)~p0 1 ~sb/^!! } !(! c#T"!c"L$!c"H$_c/__c/__} ^ _~A(~ 6*a^3*c^2+13*a^3*5*c^2-6*a*c^2*2.5*a^2-7*a^2*c*~ 2*a*c=6*a^3*c^2+65*a^3*c^2-15*a^3*c^2-7*a^2*c*~ 2*a*c)~p0 2 ~sb/_!! } !*! c#T"!c"L$"c"T! c"H%_c/__c/__} ^ _~ ~A(6*a^3*c^2+13*a^3*5*c^2-6*a*c^2*2.5*a^2-7*a^~ 2*c*2*a*c=6*a^3*c^2+65*a^3*c^2-15*a^3*c^2-14*a^~ 3*c^2)~p0 3 ~sb/_!! } !*! c#T"!c"L$#c"T! c"H&_c/__c/__} ^ _~ ~A(6*a^3*c^2+13*a^3*5*c^2-6*a*c^2*2.5*a^2-7*a^~ 2*c*2*a*c=42*a^3*c^2)~p0 4 ~sb/_!! } !&! c#T"!c"L$_c/__c/__} ^ _~Q ]|Expr|[#b @`bb#_b#_b#_})## b'4" *|: ;bP8&c0!*4d,I| |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1 0 ~A((2*x)^2*x*y^2-(5*x^3*y^4)/y^2+(-6*x*y)*0.5*~ x^2=(4*x^2)*x*y^2-(5*x^3*y^4)/y^2+(-6*x*y)*0.5*~ x^2)~p0 1 ~sb/^!! } "*! c#T"!c"L# c"H# c%X"_c/__c/__} ^ _~ ~A((2*x)^2*x*y^2-(5*x^3*y^4)/y^2+(-6*x*y)*0.5*~ x^2=4*x^3*y^2-(5*x^3*y^4)/y^2+(-6*x*y)*0.5*x^2)~p0 2 ~sb/_!! } !(! c#T"!c"L# c"H#_c/__c/__} ^ _~A(~ (2*x)^2*x*y^2-(5*x^3*y^4)/y^2+(-6*x*y)*0.5*x^2=~ 4*x^3*y^2-5*x^3*y^2+(-6*x*y)*0.5*x^2)~p0 3 ~sb/_!! } !*! c#T"!c"L#!c"T! c"\"_c/__c/__} ^ _~ ~A((2*x)^2*x*y^2-(5*x^3*y^4)/y^2+(-6*x*y)*0.5*~ x^2=4*x^3*y^2-5*x^3*y^2-3*x^3*y)~p0 4 ~sb/_!! } !(! c#T"!c"L#"c"H#_c/__c/__} ^ _~A(~ (2*x)^2*x*y^2-(5*x^3*y^4)/y^2+(-6*x*y)*0.5*x^2=~ -x^3*y^2-3*x^3*y)~p0 5 ~sb/_!! } !&! c#T"!c"L#_c/__c/__} ^ _~Q ]|Expr|[#b @`bb#_b#_b#_})## b'4" *|: ;bP8&c0!*4e,I| |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1 0 ~A(36*x^3*y^3/(12*x*y)-7*x^2*y*5*y+20*x*y^2*0.5*~ x=3*x^2*y^2-7*x^2*y*5*y+20*x*y^2*0.5*x)~p0 1 ~sb/^!! } !(! c#T"!c"L# c"H#_c/__c/__} ^ _~A(~ 36*x^3*y^3/(12*x*y)-7*x^2*y*5*y+20*x*y^2*0.5*x=~ 3*x^2*y^2-35*x^2*y^2+20*x*y^2*0.5*x)~p0 2 ~sb/_!! } !*! c#T"!c"L#!c"T! c"H%_c/__c/__} ^ _~ ~A(36*x^3*y^3/(12*x*y)-7*x^2*y*5*y+20*x*y^2*0.5*~ x=3*x^2*y^2-35*x^2*y^2+10*x^2*y^2)~p0 3 ~sb/_!! } !(! c#T"!c"L#"c"H%_c/__c/__} ^ _~A(~ 36*x^3*y^3/(12*x*y)-7*x^2*y*5*y+20*x*y^2*0.5*x=~ -22*x^2*y^2)~p0 4 ~sb/_!! } !&! c#T"!c"L#_c/__c/__} ^ _~Q ]|Expr|[#b @`bb#_b#_b#_})## b'4" *|: ;bP8&c0!*4f,I| |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1 0 ~A((3*u*v)^3/(6*u^1)+(1.5*u*v)^2*6*v-v^3*u*8*u=~ (27*u^3*v^3)/(6*u^1)+(1.5*u*v)^2*6*v-v^3*u*8*u)~p0 1 ~sb/^!! } "*! c#T"!c"L# c"\" c%X"_c/__c/__} ^ _~ ~A((3*u*v)^3/(6*u^1)+(1.5*u*v)^2*6*v-v^3*u*8*u=~ 9/2*u^2*v^3+(1.5*u*v)^2*6*v-v^3*u*8*u)~p0 2 ~sb/_!! } !(! c#T"!c"L# c"\"_c/__c/__} ^ _~A(~ (3*u*v)^3/(6*u^1)+(1.5*u*v)^2*6*v-v^3*u*8*u=9/~ 2*u^2*v^3+(2.25*u^2*v^2)*6*v-v^3*u*8*u)~p0 3 ~sb/_!! } "*! c#T"!c"L#!c"H# c%X"_c/__c/__} ^ _~ ~A((3*u*v)^3/(6*u^1)+(1.5*u*v)^2*6*v-v^3*u*8*u=~ 9/2*u^2*v^3+13.5*u^2*v^3-v^3*u*8*u)~p0 4 ~sb/_!! } !(! c#T"!c"L#!c"H#_c/__c/__} ^ _~A(~ (3*u*v)^3/(6*u^1)+(1.5*u*v)^2*6*v-v^3*u*8*u=9/~ 2*u^2*v^3+13.5*u^2*v^3-8*u^2*v^3)~p0 5 ~sb/_!! } !*! c#T"!c"L#"c"T! c"H$_c/__c/__} ^ _~ ~A((3*u*v)^3/(6*u^1)+(1.5*u*v)^2*6*v-v^3*u*8*u=~ 10*u^2*v^3)~p0 6 ~sb/_!! } !&! c#T"!c"L#_c/__c/__} ^ _~Q ]|Expr|[#b @`bb#_b#_b#_}) # b'4}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0 0 ~Q ]|Expr|[#b @`bb#_b#_b#_}) # b'4}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0 0 ~Q ]|Expr|[#b @`bb#_b#_b#_}`f#})'# b'4" *|: ;4&c0!)Weitere ,HProfi| |,M,IAufgaben,Z}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0 0 ~A(2*x^2*z^5*(2*x*z)^2+1.5*(x*z^2)^2*(2*x^2*z^~ 3)-(-0.5*x^2*z^3)*(4*x*z^2)^2)~p0 0 ~Q ]|Expr|[#b @`bb#_b#_b#_})-# b'4" *|: ;bP8&c0!*L/Vsung,Z ,Ham | |Rand doppel,M klicken,I}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1 0 ~A(2*x^2*z^5*(2*x*z)^2+1.5*(x*z^2)^2*(2*x^2*z^~ 3)-(-0.5*x^2*z^3)*(4*x*z^2)^2=2*x^2*z^5*(4*x^2*~ z^2)+1.5*(x*z^2)^2*(2*x^2*z^3)-(-0.5*x^2*z^3)*~ (4*x*z^2)^2)~p0 1 ~sb/^!! } "*! c#T"!c"L# c"H$#c%X"_c/__c/__} ^ _~ ~A(2*x^2*z^5*(2*x*z)^2+1.5*(x*z^2)^2*(2*x^2*z^~ 3)-(-0.5*x^2*z^3)*(4*x*z^2)^2=8*x^4*z^7+1.5*(x*~ z^2)^2*(2*x^2*z^3)-(-0.5*x^2*z^3)*(4*x*z^2)^2)~p0 2 ~sb/_!! } !(! c#T"!c"L# c"H$_c/__c/__} ^ _~A(~ 2*x^2*z^5*(2*x*z)^2+1.5*(x*z^2)^2*(2*x^2*z^3)-~ (-0.5*x^2*z^3)*(4*x*z^2)^2=8*x^4*z^7+1.5*(x^2*~ z^4)*(2*x^2*z^3)-(-0.5*x^2*z^3)*(4*x*z^2)^2)~p0 3 ~sb/_!! } "*! c#T"!c"L#!c"H#!c%X"_c/__c/__} ^ _~ ~A(2*x^2*z^5*(2*x*z)^2+1.5*(x*z^2)^2*(2*x^2*z^~ 3)-(-0.5*x^2*z^3)*(4*x*z^2)^2=8*x^4*z^7+3*x^4*~ z^7-(-0.5*x^2*z^3)*(4*x*z^2)^2)~p0 4 ~sb/_!! } !(! c#T"!c"L#!c"H#_c/__c/__} ^ _~A(~ 2*x^2*z^5*(2*x*z)^2+1.5*(x*z^2)^2*(2*x^2*z^3)-~ (-0.5*x^2*z^3)*(4*x*z^2)^2=8*x^4*z^7+3*x^4*z^7-~ (-0.5*x^2*z^3)*(16*x^2*z^4))~p0 5 ~sb/_!! } ",! c#T"!c"L#"c"T! c"H"!c%X"_c/__c/__} ^ _~ ~A(2*x^2*z^5*(2*x*z)^2+1.5*(x*z^2)^2*(2*x^2*z^~ 3)-(-0.5*x^2*z^3)*(4*x*z^2)^2=8*x^4*z^7+3*x^4*~ z^7-(-8*x^4*z^7))~p0 6 ~sb/_!! } !*! c#T"!c"L#"c"T! c"H"_c/__c/__} ^ _~ ~A(2*x^2*z^5*(2*x*z)^2+1.5*(x*z^2)^2*(2*x^2*z^~ 3)-(-0.5*x^2*z^3)*(4*x*z^2)^2=8*x^4*z^7+3*x^4*~ z^7+8*x^4*z^7)~p0 7 ~sb/_!! } !(! c#T"!c"L#"c"T!_c/__c/__} ^ _~A(~ 2*x^2*z^5*(2*x*z)^2+1.5*(x*z^2)^2*(2*x^2*z^3)-~ (-0.5*x^2*z^3)*(4*x*z^2)^2=19*x^4*z^7)~p0 8 ~sb/_!! } !&! c#T"!c"L#_c/__c/__} ^ _~Q ]|Expr|[#b @`bb#_b#_b#_}) # b'4}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0 0 ~Q ]|Expr|[#b @`bb#_b#_b#_}) # b'4}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0 0 ~Q ]|Expr|[#b @`bb#_b#_b#_}) # b'4}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0 0 ~A(a^2*b^2*c^5*3*a^3*b^5+8*a^3*b^2*7*a^2*(b*c)^~ 5-(2*b)^2*c*4*a^5*b^5*c^4)~p0 0 ~Q ]|Expr|[#b @`bb#_b#_b#_})+# b'4" *|: ;bP8&c0!*L/Vsung ,Ham Rand| | klicken,I}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1 0 ~A(a^2*b^2*c^5*3*a^3*b^5+8*a^3*b^2*7*a^2*(b*c)^~ 5-(2*b)^2*c*4*a^5*b^5*c^4=3*a^5*b^7*c^5+8*a^3*~ b^2*7*a^2*(b*c)^5-(2*b)^2*c*4*a^5*b^5*c^4)~p0 1 ~sb/^!! } !(! c#T"!c"L# c"H&_c/__c/__} ^ _~A(~ a^2*b^2*c^5*3*a^3*b^5+8*a^3*b^2*7*a^2*(b*c)^5-~ (2*b)^2*c*4*a^5*b^5*c^4=3*a^5*b^7*c^5+8*a^3*b^~ 2*7*a^2*(b^5*c^5)-(2*b)^2*c*4*a^5*b^5*c^4)~p0 2 ~sb/_!! } "(! c#T"!c"L#!c"H&_%&} ^ _~A(a^2*~ b^2*c^5*3*a^3*b^5+8*a^3*b^2*7*a^2*(b*c)^5-(2*b)^~ 2*c*4*a^5*b^5*c^4=3*a^5*b^7*c^5+8*a^3*b^2*7*a^~ 2*(b^5*c^5)-(4*b^2)*c*4*a^5*b^5*c^4)~p0 3 ~sb/_!! } ",! c#T"!c"L#"c"T! c"H& c%X"_c/__c/__} ^ _~ ~A(a^2*b^2*c^5*3*a^3*b^5+8*a^3*b^2*7*a^2*(b*c)^~ 5-(2*b)^2*c*4*a^5*b^5*c^4=3*a^5*b^7*c^5+56*a^5*~ b^7*c^5-(4*b^2)*c*4*a^5*b^5*c^4)~p0 4 ~sb/_!! } !(! c#T"!c"L#!c"H&_c/__c/__} ^ _~A(~ a^2*b^2*c^5*3*a^3*b^5+8*a^3*b^2*7*a^2*(b*c)^5-~ (2*b)^2*c*4*a^5*b^5*c^4=3*a^5*b^7*c^5+56*a^5*b^~ 7*c^5-16*a^5*b^7*c^5)~p0 5 ~sb/_!! } !*! c#T"!c"L#"c"T! c"H&_c/__c/__} ^ _~ ~A(a^2*b^2*c^5*3*a^3*b^5+8*a^3*b^2*7*a^2*(b*c)^~ 5-(2*b)^2*c*4*a^5*b^5*c^4=43*a^5*b^7*c^5)~p0 6 ~sb/_!! } !&! c#T"!c"L#_c/__c/__} ^ _~Q ]|Expr|[#b @`bb#_b#_b#_}) # b'4}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0 0 ~Q ]|Expr|[#b @`bb#_b#_b#_}) # b'4}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0 0 ~A(2*x*y^3-5*x^3*y+7*x*y^3-x*(3*x^2*y)+(2*x*y)*~ (4*y^2))~p0 0 ~Q ]|Expr|[#b @`bb#_b#_b#_})+# b'4" *|: ;bP8&c0!*L/Vsung ,Ham Rand| | klicken,I}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1 0 ~A(2*x*y^3-5*x^3*y+7*x*y^3-x*(3*x^2*y)+(2*x*y)*~ (4*y^2)=2*x*y^3-5*x^3*y+7*x*y^3-3*x^3*y+(2*x*y)*~ (4*y^2))~p0 1 ~sb/^!! } !*! c#T"!c"L%#c"T! c"H"_c/__c/__} ^ _~ ~A(2*x*y^3-5*x^3*y+7*x*y^3-x*(3*x^2*y)+(2*x*y)*~ (4*y^2)=2*x*y^3-5*x^3*y+7*x*y^3-3*x^3*y+8*x*y^~ 3)~p0 2 ~sb/_!! } !(! c#T"!c"L%$c"H"_c/__c/__} ^ _~A(~ 2*x*y^3-5*x^3*y+7*x*y^3-x*(3*x^2*y)+(2*x*y)*(4*~ y^2)=2*x*y^3+7*x*y^3-5*x^3*y-3*x^3*y+8*x*y^3)~p0 3 ~sb/_!! } b0+'! c#T"!c"L%_"#!} ^ _~A(2*x*y^~ 3-5*x^3*y+7*x*y^3-x*(3*x^2*y)+(2*x*y)*(4*y^2)=~ 2*x*y^3+7*x*y^3+8*x*y^3-5*x^3*y-3*x^3*y)~p0 4 ~sb/_!! } b0+'! c#T"!c"L%_$%"} ^ _~A(2*x*y^~ 3-5*x^3*y+7*x*y^3-x*(3*x^2*y)+(2*x*y)*(4*y^2)=~ 17*x*y^3-5*x^3*y-3*x^3*y)~p0 5 ~sb/_!! } !&! c#T"!c"L%_ #} ^ _~A(2*x*y^3-5*~ x^3*y+7*x*y^3-x*(3*x^2*y)+(2*x*y)*(4*y^2)=17*x*~ y^3-8*x^3*y)~p0 6 ~sb/_!! } !&! c#T"!c"L#_!#} ^ _~Q ]|Expr|[#b @`bb#_b#_b#_}) # b'4}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0 0 ~Q ]|Expr|[#b @`bb#_b#_b#_}) # b'4}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0 0 ~Q ]|Expr|[#b @`bb#_b#_b#_}) # b'4}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0 0 ~Q ]|Expr|[#b @`bb#_b#_b#_}) # b'4}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0 0 ~Q ]|Expr|[#b @`bb#_b#_b#_}) # b'4}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0 0 ~Q ]|Expr|[#b @`bb#_b#_b#_}) # b'4}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0 0 ~Q ]|Expr|[#b @`bb#_b#_b#_}) # b'4}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0 0 ~Q ]|Expr|[#b @`bb#_b#_b#_}) # b'4}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0 0 ~c1 167 -1 154 -1 ~c1 168 -1 167 -1 ~c1 169 -1 168 -1 ~c1 170 -1 169 -1 ~c1 172 -1 157 -1 ~c1 173 -1 172 -1 ~c1 174 -1 173 -1 ~c1 175 -1 174 -1 ~c1 176 -1 175 -1 ~c1 178 -1 160 -1 ~c1 179 -1 178 -1 ~c1 180 -1 179 -1 ~c1 181 -1 180 -1 ~c1 183 -1 163 -1 ~c1 184 -1 183 -1 ~c1 185 -1 184 -1 ~c1 186 -1 185 -1 ~c1 187 -1 186 -1 ~c1 188 -1 187 -1 ~c1 194 -1 192 -1 ~c1 195 -1 194 -1 ~c1 196 -1 195 -1 ~c1 197 -1 196 -1 ~c1 198 -1 197 -1 ~c1 199 -1 198 -1 ~c1 200 -1 199 -1 ~c1 201 -1 200 -1 ~c1 207 -1 205 -1 ~c1 208 -1 207 -1 ~c1 209 -1 208 -1 ~c1 210 -1 209 -1 ~c1 211 -1 210 -1 ~c1 212 -1 211 -1 ~c1 217 -1 215 -1 ~c1 218 -1 217 -1 ~c1 219 -1 218 -1 ~c1 220 -1 219 -1 ~c1 221 -1 220 -1 ~c1 222 -1 221 -1 ~e