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

The solution to expand (a+b)(a^3-3ab-b^2) is a^4-4ab^2+a^3b-3a^2b-b^3

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expand (a+b)(a^3-3ab-b^2)

expand

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

a^{4} - 4 a b^{2} + a^{3} b - 3 a^{2} b - b^{3}

Solution steps

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

Distribute parentheses

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

Simplify

a a^{3} + a (- 3 ab) + a (- b^{2}) + b a^{3} + b (- 3 ab) + b (- b^{2}) : a^{4} - 4 a b^{2} + a^{3} b - 3 a^{2} b - b^{3}

= a^{4} - 4 a b^{2} + a^{3} b - 3 a^{2} b - b^{3}

\frac{1}{2} + \frac{1}{2} + \frac{1}{2} + \frac{1}{2}

(- 100) (- 16)

lo g_{10} (0.0003)

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

\frac{1}{25}

What is expand (a+b)(a^3-3ab-b^2) ?
The solution to expand (a+b)(a^3-3ab-b^2) is a^4-4ab^2+a^3b-3a^2b-b^3