Question

(х + у)(х^2 - ху + у^2 );

Answer 1

Ответ:

x³+y³

Объяснение:

(x+y)(x²-xy+y²) = x³+y³

Answer 2

To expand the expression $(x + y)(x^2 - xy + y^2)$, you can use the distributive property. Here's how you can do it step by step:

1. Distribute $x$ into the second expression $(x^2 - xy + y^2)$: $x(x^2 - xy + y^2) = x^3 - x^2y + xy^2$

2. Distribute $y$ into the second expression $(x^2 - xy + y^2)$: $y(x^2 - xy + y^2) = xy^2 - x^2y + y^3$

3. Now, you have two terms: $x^3 - x^2y + xy^2 + xy^2 - x^2y + y^3$

4. Combine like terms: $x^3 - 2x^2y + 2xy^2 + y^3$

So, the expanded expression is: $x^3 - 2x^2y + 2xy^2 + y^3$