Calculus Examples

${(x + 9)}^{3}$

Step 1

Use the Binomial Theorem.

$x^{3} + 3 x^{2} \cdot 9 + 3 x \cdot 9^{2} + 9^{3}$

Step 2

Simplify each term.

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Step 2.1

Multiply $9$ by $3$ .

$x^{3} + 27 x^{2} + 3 x \cdot 9^{2} + 9^{3}$

Step 2.2

Raise $9$ to the power of $2$ .

$x^{3} + 27 x^{2} + 3 x \cdot 81 + 9^{3}$

Step 2.3

Multiply $81$ by $3$ .

$x^{3} + 27 x^{2} + 243 x + 9^{3}$

Step 2.4

Raise $9$ to the power of $3$ .

$x^{3} + 27 x^{2} + 243 x + 729$