Algebra Examples

{(x + 6)}^{2}

${(x + 6)}^{2}$

Step 1

Rewrite

{(x + 6)}^{2}

${(x + 6)}^{2}$ as

(x + 6) (x + 6)

$(x + 6) (x + 6)$ .

(x + 6) (x + 6)

$(x + 6) (x + 6)$

Step 2

Expand

(x + 6) (x + 6)

$(x + 6) (x + 6)$ using the FOIL Method.

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Step 2.1

Apply the distributive property.

x (x + 6) + 6 (x + 6)

$x (x + 6) + 6 (x + 6)$

Step 2.2

Apply the distributive property.

x \cdot x + x \cdot 6 + 6 (x + 6)

$x \cdot x + x \cdot 6 + 6 (x + 6)$

Step 2.3

Apply the distributive property.

x \cdot x + x \cdot 6 + 6 x + 6 \cdot 6

$x \cdot x + x \cdot 6 + 6 x + 6 \cdot 6$

x \cdot x + x \cdot 6 + 6 x + 6 \cdot 6

$x \cdot x + x \cdot 6 + 6 x + 6 \cdot 6$

Step 3

Simplify and combine like terms.

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Step 3.1

Simplify each term.

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Step 3.1.1

Multiply

x

$x$ by

x

$x$ .

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

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

Step 3.1.2

Move

6

$6$ to the left of

x

$x$ .

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

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

Step 3.1.3

Multiply

6

$6$ by

6

$6$ .

x^{2} + 6 x + 6 x + 36

$x^{2} + 6 x + 6 x + 36$

x^{2} + 6 x + 6 x + 36

$x^{2} + 6 x + 6 x + 36$

Step 3.2

Add

6 x

$6 x$ and

6 x

$6 x$ .

$x^{2} + 12 x + 36$

$x^{2} + 12 x + 36$

${(x + 6)}^{2}$

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$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$