What is expand (x-y)(x^2+2xy+y^2) ?

The solution to expand (x-y)(x^2+2xy+y^2) is x^3-xy^2-y^3+x^2y

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

expand

(x - y) (x^{2} + 2 x y + y^{2})

x^{3} - x y^{2} - y^{3} + x^{2} y

Solution steps

(x - y) (x^{2} + 2 x y + y^{2})

Distribute parentheses

= x x^{2} + x \cdot 2 x y + x y^{2} - y x^{2} - y \cdot 2 x y - y y^{2}

Simplify

x x^{2} + x \cdot 2 x y + x y^{2} - y x^{2} - y \cdot 2 x y - y y^{2} : x^{3} - x y^{2} - y^{3} + x^{2} y

= x^{3} - x y^{2} - y^{3} + x^{2} y

\frac{1}{2} + \frac{5}{4}

lo g_{0.5} (8)

- 3 \times 4

\frac{7}{9}

\frac{- 42 x ^{10} y ^{5} + 12 x ^{8} y ^{3} - 6 x ^{2} y}{6 x ^{2} y}

What is expand (x-y)(x^2+2xy+y^2) ?
The solution to expand (x-y)(x^2+2xy+y^2) is x^3-xy^2-y^3+x^2y