Question

X(x - y)^2- y(y - x)^2

Answer 1

вот :) Там в первой строке не вместилось : *2

Answer 2

The expression you provided is:

X(x - y)^2 - y(y - x)^2

To simplify this expression, let's expand and simplify each term:

1. Expand (x - y)^2: (x - y)^2 = x^2 - 2xy + y^2

2. Expand (y - x)^2: (y - x)^2 = y^2 - 2xy + x^2

Now, substitute these expanded expressions back into the original expression:

X(x^2 - 2xy + y^2) - y(y^2 - 2xy + x^2)

Now, distribute the X and -y:

Xx^2 - 2Xxy + Xy^2 - y^3 + 2xy^2 - xyx^2

Now, combine like terms:

Xx^2 - xyx^2 - y^3 + 2xy^2 - 2Xxy + Xy^2

Next, combine similar terms:

(X - xy - 2Xy)x^2 + (2y^2 - y^3)y

Now, you have a simplified expression:

(x^2(1 - 3y) + y(2y - y^2))

So, X(x - y)^2 - y(y - x)^2 simplifies to:

x^2(1 - 3y) + y(2y - y^2)