Calculus Examples

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

Step 1

Use the Binomial Theorem.

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

Step 2

Apply the distributive property.

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

Step 3

Simplify.

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Step 3.1

Multiply $3$ by $- 1$ .

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

Step 3.2

Multiply $3$ by $- 1$ .

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

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

Step 4

Remove parentheses.

$- a^{3} - 3 a^{2} h - 3 a h^{2} - h^{3}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$