Polynomdivision II
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Exercise:
Berechne die folge Terme. nprvmulticols abclist abc x^+x^-x-:x+ abc x^-x-:x+ abc x^-x^-x+:x+ abc frac x^ - frac x^ -x + :x- abc x^+fracx^ + x -:x+ abc x^-x^y+y^:x^+y abc x^-x^+x^-x+:x^-x+ abc x^-x^-x+:x+ abc x^-x+:x- abc x^-frac x^ - frac x -:x+frac abclist nprvmulticols
Solution:
abclist abc * arrayrrrrclcl x^&+x^&-x&-&:&x+& x^-x- x^&+x^ cline- &-x^&-x&- & -x^&-x cline- & & -x&- & & -x & - cline- & & & array * abc * arrayrrrrclcl x^&&-x&-&:&x+& x^ - x- x^&+x^ cline- & -x^&-x&- & -x^&-x cline- & &-x&- & &-x&- cline- & & & array * abc * arrayrrrrrclcl x^&&-x^&-x&+&:&x+& x^ -x^ + x - + dfracx+ x^&+x^ cline- & -x^&-x^&-x&+ & -x^ &-x^ cline- & & x^&-x&+ & & x^& +x cline- & & & -x &+ & & & -x &- cline- & & & & array * abc * arrayrrrrclcl frac x^ &- frac x^ &-x &+ &:&x-& frac x^ - frac x - frac x^&-x^ cline- & -fracx^&-x&+ & -frac x^&+x cline- & & -x & + & & -x & + cline- & & & array * abc * arrayrrrrclcl x^&+fracx^ &+ x &-&:&x+& x^ + frac x - x^ & + x^ cline- & frac x^& +x &- & frac x^ & +x cline- & & -x&- & & -x&- cline- & & & array * abc * arrayrrrrclcl x^&-x^y&&+y^&:&x^+y& x^-x^y+y^ x^&+x^y cline- & -x^y&&+y^ & -x^y&-x^y^ cline- & & x^y^&+y^ & & x^y^&+y^ cline- & & & array * abc * arrayrrrrrclcl x^&-x^&+x^&-x&+&:&x^-x+& x^+ x+ x^&-x^&+x^ cline- & x^&+x^&-x&+ & x^&-x^ & +x cline- & & x^ &-x&+ & & x^ &-x & + cline- && & & array * abc * arrayrrrrclcl x^&-x^&-x&+&:&x+&x^ - x - + dfracx+ x^ &+x^ cline- & -x^& - x & + & -x^&-x cline- & & -x&+ & & -x & - cline- & & & array * abc * arrayrrrrclcl x^&&-x&+&:&x-&x^ + dfrac x - dfrac - dfracx- x^&-x^ cline- &x^&-x&+ & x^ &-frac x cline- & & -fracx &+ & & -fracx& + frac cline- & & & -frac array * abc * arrayrrrrclcl x^&-frac x^ &- frac x &-&:&x+frac & x^ + x - dfrac + dfracx+frac x^&+frac x^ cline- & x^&-frac x &- & x^ &+ frac x cline- & & -fracx&- & & -fracx&-frac cline- & & & frac array * abclist
Berechne die folge Terme. nprvmulticols abclist abc x^+x^-x-:x+ abc x^-x-:x+ abc x^-x^-x+:x+ abc frac x^ - frac x^ -x + :x- abc x^+fracx^ + x -:x+ abc x^-x^y+y^:x^+y abc x^-x^+x^-x+:x^-x+ abc x^-x^-x+:x+ abc x^-x+:x- abc x^-frac x^ - frac x -:x+frac abclist nprvmulticols
Solution:
abclist abc * arrayrrrrclcl x^&+x^&-x&-&:&x+& x^-x- x^&+x^ cline- &-x^&-x&- & -x^&-x cline- & & -x&- & & -x & - cline- & & & array * abc * arrayrrrrclcl x^&&-x&-&:&x+& x^ - x- x^&+x^ cline- & -x^&-x&- & -x^&-x cline- & &-x&- & &-x&- cline- & & & array * abc * arrayrrrrrclcl x^&&-x^&-x&+&:&x+& x^ -x^ + x - + dfracx+ x^&+x^ cline- & -x^&-x^&-x&+ & -x^ &-x^ cline- & & x^&-x&+ & & x^& +x cline- & & & -x &+ & & & -x &- cline- & & & & array * abc * arrayrrrrclcl frac x^ &- frac x^ &-x &+ &:&x-& frac x^ - frac x - frac x^&-x^ cline- & -fracx^&-x&+ & -frac x^&+x cline- & & -x & + & & -x & + cline- & & & array * abc * arrayrrrrclcl x^&+fracx^ &+ x &-&:&x+& x^ + frac x - x^ & + x^ cline- & frac x^& +x &- & frac x^ & +x cline- & & -x&- & & -x&- cline- & & & array * abc * arrayrrrrclcl x^&-x^y&&+y^&:&x^+y& x^-x^y+y^ x^&+x^y cline- & -x^y&&+y^ & -x^y&-x^y^ cline- & & x^y^&+y^ & & x^y^&+y^ cline- & & & array * abc * arrayrrrrrclcl x^&-x^&+x^&-x&+&:&x^-x+& x^+ x+ x^&-x^&+x^ cline- & x^&+x^&-x&+ & x^&-x^ & +x cline- & & x^ &-x&+ & & x^ &-x & + cline- && & & array * abc * arrayrrrrclcl x^&-x^&-x&+&:&x+&x^ - x - + dfracx+ x^ &+x^ cline- & -x^& - x & + & -x^&-x cline- & & -x&+ & & -x & - cline- & & & array * abc * arrayrrrrclcl x^&&-x&+&:&x-&x^ + dfrac x - dfrac - dfracx- x^&-x^ cline- &x^&-x&+ & x^ &-frac x cline- & & -fracx &+ & & -fracx& + frac cline- & & & -frac array * abc * arrayrrrrclcl x^&-frac x^ &- frac x &-&:&x+frac & x^ + x - dfrac + dfracx+frac x^&+frac x^ cline- & x^&-frac x &- & x^ &+ frac x cline- & & -fracx&- & & -fracx&-frac cline- & & & frac array * abclist