What is expand (a^2+b^2-2ab)(a-b) ?

The solution to expand (a^2+b^2-2ab)(a-b) is a^3-3a^2b+3ab^2-b^3

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expand (a^2+b^2-2ab)(a-b)

expand

(a^{2} + b^{2} - 2 ab) (a - b)

a^{3} - 3 a^{2} b + 3 a b^{2} - b^{3}

Solution steps

(a^{2} + b^{2} - 2 ab) (a - b)

Distribute parentheses

= a^{2} a + a^{2} (- b) + b^{2} a + b^{2} (- b) - 2 aba - 2 ab (- b)

Simplify

a^{2} a + a^{2} (- b) + b^{2} a + b^{2} (- b) - 2 aba - 2 ab (- b) : a^{3} - 3 a^{2} b + 3 a b^{2} - b^{3}

= a^{3} - 3 a^{2} b + 3 a b^{2} - b^{3}

3 \cdot 2 \frac{2}{5}

\frac{130}{360}

(sin (a) + cos (a))^{2} + (sin (a) - cos (a))^{2}

- (\frac{3}{2})^{2}

What is expand (a^2+b^2-2ab)(a-b) ?
The solution to expand (a^2+b^2-2ab)(a-b) is a^3-3a^2b+3ab^2-b^3