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

Subtract

6 x

$6 x$ from

- 6 x

$- 6 x$ .

x^{2} - 12 x + 36

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

x^{2} - 12 x + 36

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

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

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