Precalculus Examples

$2 {(a + h)}^{3}$

Step 1

Use the Binomial Theorem.

$2 (a^{3} + 3 a^{2} h + 3 a h^{2} + h^{3})$

Step 2

Apply the distributive property.

$2 a^{3} + 2 (3 a^{2} h) + 2 (3 a h^{2}) + 2 h^{3}$

Step 3

Simplify.

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Step 3.1

Multiply $3$ by $2$ .

$2 a^{3} + 6 (a^{2} h) + 2 (3 a h^{2}) + 2 h^{3}$

Step 3.2

Multiply $3$ by $2$ .

$2 a^{3} + 6 (a^{2} h) + 6 (a h^{2}) + 2 h^{3}$

Step 4

Remove parentheses.

$2 a^{3} + 6 a^{2} h + 6 a h^{2} + 2 h^{3}$