Algebra Examples

(x - 8) (x + 8)

$(x - 8) (x + 8)$

Step 1

Expand

(x - 8) (x + 8)

$(x - 8) (x + 8)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

x (x + 8) - 8 (x + 8)

$x (x + 8) - 8 (x + 8)$

Step 1.2

Apply the distributive property.

x \cdot x + x \cdot 8 - 8 (x + 8)

$x \cdot x + x \cdot 8 - 8 (x + 8)$

Step 1.3

Apply the distributive property.

x \cdot x + x \cdot 8 - 8 x - 8 \cdot 8

$x \cdot x + x \cdot 8 - 8 x - 8 \cdot 8$

x \cdot x + x \cdot 8 - 8 x - 8 \cdot 8

$x \cdot x + x \cdot 8 - 8 x - 8 \cdot 8$

Step 2

Simplify terms.

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Step 2.1

Combine the opposite terms in

x \cdot x + x \cdot 8 - 8 x - 8 \cdot 8

$x \cdot x + x \cdot 8 - 8 x - 8 \cdot 8$ .

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Step 2.1.1

Reorder the factors in the terms

x \cdot 8

$x \cdot 8$ and

- 8 x

$- 8 x$ .

x \cdot x + 8 x - 8 x - 8 \cdot 8

$x \cdot x + 8 x - 8 x - 8 \cdot 8$

Step 2.1.2

Subtract

8 x

$8 x$ from

8 x

$8 x$ .

x \cdot x + 0 - 8 \cdot 8

$x \cdot x + 0 - 8 \cdot 8$

Step 2.1.3

Add

x \cdot x

$x \cdot x$ and

0

$0$ .

x \cdot x - 8 \cdot 8

$x \cdot x - 8 \cdot 8$

x \cdot x - 8 \cdot 8

$x \cdot x - 8 \cdot 8$

Step 2.2

Simplify each term.

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Step 2.2.1

Multiply

x

$x$ by

x

$x$ .

x^{2} - 8 \cdot 8

$x^{2} - 8 \cdot 8$

Step 2.2.2

Multiply

- 8

$- 8$ by

8

$8$ .

x^{2} - 64

$x^{2} - 64$

x^{2} - 64

$x^{2} - 64$

x^{2} - 64

$x^{2} - 64$

⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

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