Algebra Examples

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

Step 1

Use the Binomial Theorem.

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

Step 2

Simplify each term.

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Step 2.1

Multiply $3$ by $1$ .

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

Step 2.2

One to any power is one.

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

Step 2.3

Multiply $3$ by $1$ .

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

Step 2.4

One to any power is one.

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