Factor. Explain/show steps: (x-y)²-3(y-x)³=?

Question

Factor.
Explain/show steps:
(x-y)²-3(y-x)³=

Answer 1

(y-x)^3=-(x-y)^3
(x-y)^2-3(y-x)^3=
(x-y)^2+3(x-y)^3=
[(x-y)^2][1+3(x-y)]

Answer 2

Each of the two terms can have (x - y)^2 factored out. That
makes the expression equal to:

[(x - y)^2]*[1 + 3(x - y)] = [(x - y)^2]*[3x - 3y + 1]


*Note that (y - x)^3 = [(-1)^3][(x - y)^3] = -(1)[(x - y)^2][x - y]

Answer 3

= (x - y)² - 3.[- (x - y) ] ³
= (x - y)² + 3.(x - y)³
= (x - y)² [1 + 3 (x - y) ]

Answer 4

(x-y)²-3(y-x)³
=(y-x)^2- 3(y-x)^3 [(x-y)^2 = (y-x)^2]
=(y-x)^2[1-3(y-x)] {Factor out the (y-x)^2}

Answer 5

(x-y)²-3(y-x)³
=(x-y)²+3(x-y)³
Take (x-y)² common out of two terms
=(x-y)²[1+3(y-x)]
=(x-y)²(1-3x+3y)

Answer 6

in case you meant to evalute it could be something like this: 4xy²(3y-x)-2x²(x-3y)² = 4x(y^3-xy^2)-2x^2(x^2-9y^2) = 4(xy^3-x^2y^2)-2(x^4-9x^2y^2) = 4xy^3-4x^2y^2-2x^4+18x^2y^2 = 14x^2y^2-2x^4+4x^3 answer: 14x^2y^2-2x^4+4x^3 (P.S. Sorry for the ^ sign cse i could no longer get it to alter into superscript....)

Answer 7

(x-y)²(1-3x+3y)