Trigonometry Examples

${(x + 4)}^{3}$

Step 1

Use the Binomial Theorem.

$x^{3} + 3 x^{2} \cdot 4 + 3 x \cdot 4^{2} + 4^{3}$

Step 2

Simplify each term.

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Step 2.1

Multiply $4$ by $3$ .

$x^{3} + 12 x^{2} + 3 x \cdot 4^{2} + 4^{3}$

Step 2.2

Raise $4$ to the power of $2$ .

$x^{3} + 12 x^{2} + 3 x \cdot 16 + 4^{3}$

Step 2.3

Multiply $16$ by $3$ .

$x^{3} + 12 x^{2} + 48 x + 4^{3}$

Step 2.4

Raise $4$ to the power of $3$ .

$x^{3} + 12 x^{2} + 48 x + 64$