Algebra Examples

{(x - 7)}^{2}

${(x - 7)}^{2}$

Step 1

Rewrite

{(x - 7)}^{2}

${(x - 7)}^{2}$ as

(x - 7) (x - 7)

$(x - 7) (x - 7)$ .

(x - 7) (x - 7)

$(x - 7) (x - 7)$

Step 2

Expand

(x - 7) (x - 7)

$(x - 7) (x - 7)$ using the FOIL Method.

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Step 2.1

Apply the distributive property.

x (x - 7) - 7 (x - 7)

$x (x - 7) - 7 (x - 7)$

Step 2.2

Apply the distributive property.

x \cdot x + x \cdot - 7 - 7 (x - 7)

$x \cdot x + x \cdot - 7 - 7 (x - 7)$

Step 2.3

Apply the distributive property.

x \cdot x + x \cdot - 7 - 7 x - 7 \cdot - 7

$x \cdot x + x \cdot - 7 - 7 x - 7 \cdot - 7$

x \cdot x + x \cdot - 7 - 7 x - 7 \cdot - 7

$x \cdot x + x \cdot - 7 - 7 x - 7 \cdot - 7$

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 - 7 - 7 x - 7 \cdot - 7

$x^{2} + x \cdot - 7 - 7 x - 7 \cdot - 7$

Step 3.1.2

Move

- 7

$- 7$ to the left of

x

$x$ .

x^{2} - 7 \cdot x - 7 x - 7 \cdot - 7

$x^{2} - 7 \cdot x - 7 x - 7 \cdot - 7$

Step 3.1.3

Multiply

- 7

$- 7$ by

- 7

$- 7$ .

x^{2} - 7 x - 7 x + 49

$x^{2} - 7 x - 7 x + 49$

x^{2} - 7 x - 7 x + 49

$x^{2} - 7 x - 7 x + 49$

Step 3.2

Subtract

7 x

$7 x$ from

- 7 x

$- 7 x$ .

x^{2} - 14 x + 49

$x^{2} - 14 x + 49$

x^{2} - 14 x + 49

$x^{2} - 14 x + 49$

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

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