Question

РОЗКЛАДІТЬ НА МНОЖНИКИ(x-y)(y^2-z^2-(y-z)(x^2-y^2)

Answer 1

Ответ:

x3--xz2-x4-2x2y2+2x3y+2xy3-yx2+y4

Answer 2

Factoring the Expression (x-y)(y^2-z^2-(y-z)(x^2-y^2))

To factor the given expression, we'll start by simplifying the terms and then factorizing the expression step by step.

First, let's simplify the expression: (x-y)(y^2-z^2-(y-z)(x^2-y^2))

Simplify the expression inside the brackets: (x-y)(y^2-z^2-y(x^2-y^2)+z(x^2-y^2))

Now, let's factorize the expression step by step.

1. Factorize the expression inside the brackets: y^2 - z^2 - y(x^2 - y^2) + z(x^2 - y^2) = (y+z)(y-z) - y(x+y)(x-y) + z(x+y)(x-y)

2. Factorize the entire expression: (x-y)((y+z)(y-z) - y(x+y)(x-y) + z(x+y)(x-y))

Now, the expression is fully factorized.

The factored form of (x-y)(y^2-z^2-(y-z)(x^2-y^2)) is (x-y)((y+z)(y-z) - y(x+y)(x-y) + z(x+y)(x-y)).