Question

(x-y)^2 + (y-x)^3

Answer 1

i need factorization

Answer 2

\[(x-y)^2+ (y-x)^3\]

Answer 3

\[(y-x)^{2}[1+y-x]\]

Answer 4

is it!

Answer 5

Looks too easy. It becomes \[(y-x)^{2}+y(y-x)^{2}-(x)(y-x)^{2}\] I am not sure that equates to \[(x-y)^{2} + (y-x)^{3}\]

Answer 6

I would double check if I were you frenchfrycat

Answer 7

It checks out, so you can't just depend on looks, you actually have to prove it!

Answer 8

-(x-y)=(y-x) and (-x)^3=-x^3 so (-(x-y))^3=-(x-y)^3 so we have (x-y)^2-(x-y)^3
=(x-y)^2*(1-(x-y))=(x-y)^2(1-x+y)