Calculus Examples

${(1 + h)}^{3}$

Step 1

Use the Binomial Theorem.

$1^{3} + 3 \cdot 1^{2} h + 3 \cdot 1 h^{2} + h^{3}$

Step 2

Simplify each term.

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Step 2.1

One to any power is one.

$1 + 3 \cdot 1^{2} h + 3 \cdot 1 h^{2} + h^{3}$

Step 2.2

One to any power is one.

$1 + 3 \cdot 1 h + 3 \cdot 1 h^{2} + h^{3}$

Step 2.3

Multiply $3$ by $1$ .

$1 + 3 h + 3 \cdot 1 h^{2} + h^{3}$

Step 2.4

Multiply $3$ by $1$ .

$1 + 3 h + 3 h^{2} + h^{3}$