Question

K) (x + y)2 (x - 1) - (x - y)2 x.

Answer 1

ответ:

2(-x+2xy-y)

если надо могу написать в более развернутом варианте

Answer 2

To simplify the expression, let's expand and simplify each term step by step:

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

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

Step 3: Simplify the expression: (x + y)^2 (x - 1) - (x - y)^2 x = (x^2 + 2xy + y^2)(x - 1) - (x^2 - 2xy + y^2)x = x^3 + 2x^2y + xy^2 - x^2 - 2xy - y^2 - x^3 + 2xy^2 - y^2x = x^3 - x^2 + 2xy^2 - y^2x + 2x^2y - 2xy + xy^2 - y^2

So, the simplified expression is x^3 - x^2 + 2xy^2 - y^2x + 2x^2y - 2xy + xy^2 - y^2.