Algebra Examples

(x + 12) (x - 12)

$(x + 12) (x - 12)$

Step 1

Expand

(x + 12) (x - 12)

$(x + 12) (x - 12)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

x (x - 12) + 12 (x - 12)

$x (x - 12) + 12 (x - 12)$

Step 1.2

Apply the distributive property.

x \cdot x + x \cdot - 12 + 12 (x - 12)

$x \cdot x + x \cdot - 12 + 12 (x - 12)$

Step 1.3

Apply the distributive property.

x \cdot x + x \cdot - 12 + 12 x + 12 \cdot - 12

$x \cdot x + x \cdot - 12 + 12 x + 12 \cdot - 12$

x \cdot x + x \cdot - 12 + 12 x + 12 \cdot - 12

$x \cdot x + x \cdot - 12 + 12 x + 12 \cdot - 12$

Step 2

Simplify terms.

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Step 2.1

Combine the opposite terms in

x \cdot x + x \cdot - 12 + 12 x + 12 \cdot - 12

$x \cdot x + x \cdot - 12 + 12 x + 12 \cdot - 12$ .

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Step 2.1.1

Reorder the factors in the terms

x \cdot - 12

$x \cdot - 12$ and

12 x

$12 x$ .

x \cdot x - 12 x + 12 x + 12 \cdot - 12

$x \cdot x - 12 x + 12 x + 12 \cdot - 12$

Step 2.1.2

Add

- 12 x

$- 12 x$ and

12 x

$12 x$ .

x \cdot x + 0 + 12 \cdot - 12

$x \cdot x + 0 + 12 \cdot - 12$

Step 2.1.3

Add

x \cdot x

$x \cdot x$ and

0

$0$ .

x \cdot x + 12 \cdot - 12

$x \cdot x + 12 \cdot - 12$

x \cdot x + 12 \cdot - 12

$x \cdot x + 12 \cdot - 12$

Step 2.2

Simplify each term.

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Step 2.2.1

Multiply

x

$x$ by

x

$x$ .

x^{2} + 12 \cdot - 12

$x^{2} + 12 \cdot - 12$

Step 2.2.2

Multiply

12

$12$ by

- 12

$- 12$ .

x^{2} - 144

$x^{2} - 144$

x^{2} - 144

$x^{2} - 144$

x^{2} - 144

$x^{2} - 144$

(x + 12) (x - 12)

$(x + 12) (x - 12)$

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

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