Algebra Examples

$(x + 2) (x + 2) (x + 2)$

Step 1

Multiply $x + 2$ by $x + 2$ .

${(x + 2)}^{2} (x + 2)$

Step 2

Multiply ${(x + 2)}^{2}$ by $x + 2$ by adding the exponents.

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Step 2.1

Multiply ${(x + 2)}^{2}$ by $x + 2$ .

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Step 2.1.1

Raise $x + 2$ to the power of $1$ .

${(x + 2)}^{2} {(x + 2)}^{1}$

Step 2.1.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

${(x + 2)}^{2 + 1}$

Step 2.2

Add $2$ and $1$ .

${(x + 2)}^{3}$

Step 3

Use the Binomial Theorem.

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

Step 4

Simplify each term.

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Step 4.1

Multiply $2$ by $3$ .

$x^{3} + 6 x^{2} + 3 x \cdot 2^{2} + 2^{3}$

Step 4.2

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

$x^{3} + 6 x^{2} + 3 x \cdot 4 + 2^{3}$

Step 4.3

Multiply $4$ by $3$ .

$x^{3} + 6 x^{2} + 12 x + 2^{3}$

Step 4.4

Raise $2$ to the power of $3$ .

$x^{3} + 6 x^{2} + 12 x + 8$