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

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

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

expand

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

x^{3} - y^{3}

Solution steps

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

Distribute parentheses

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

Simplify

x^{2} x + x^{2} (- y) + x y x + x y (- y) + y^{2} x + y^{2} (- y) : x^{3} - y^{3}

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

x (x - 4)

5^{2} - 4^{2}

\frac{x + 2}{x ^{2} - 4}

x^{2} + \frac{1}{x ^{2}}

1 x^{2}

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