Algebra Examples

(x - 9) (x + 9)

$(x - 9) (x + 9)$

Step 1

Expand

(x - 9) (x + 9)

$(x - 9) (x + 9)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

x (x + 9) - 9 (x + 9)

$x (x + 9) - 9 (x + 9)$

Step 1.2

Apply the distributive property.

x \cdot x + x \cdot 9 - 9 (x + 9)

$x \cdot x + x \cdot 9 - 9 (x + 9)$

Step 1.3

Apply the distributive property.

x \cdot x + x \cdot 9 - 9 x - 9 \cdot 9

$x \cdot x + x \cdot 9 - 9 x - 9 \cdot 9$

x \cdot x + x \cdot 9 - 9 x - 9 \cdot 9

$x \cdot x + x \cdot 9 - 9 x - 9 \cdot 9$

Step 2

Simplify terms.

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Step 2.1

Combine the opposite terms in

x \cdot x + x \cdot 9 - 9 x - 9 \cdot 9

$x \cdot x + x \cdot 9 - 9 x - 9 \cdot 9$ .

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Step 2.1.1

Reorder the factors in the terms

x \cdot 9

$x \cdot 9$ and

- 9 x

$- 9 x$ .

x \cdot x + 9 x - 9 x - 9 \cdot 9

$x \cdot x + 9 x - 9 x - 9 \cdot 9$

Step 2.1.2

Subtract

9 x

$9 x$ from

9 x

$9 x$ .

x \cdot x + 0 - 9 \cdot 9

$x \cdot x + 0 - 9 \cdot 9$

Step 2.1.3

Add

x \cdot x

$x \cdot x$ and

0

$0$ .

x \cdot x - 9 \cdot 9

$x \cdot x - 9 \cdot 9$

x \cdot x - 9 \cdot 9

$x \cdot x - 9 \cdot 9$

Step 2.2

Simplify each term.

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Step 2.2.1

Multiply

x

$x$ by

x

$x$ .

x^{2} - 9 \cdot 9

$x^{2} - 9 \cdot 9$

Step 2.2.2

Multiply

- 9

$- 9$ by

9

$9$ .

x^{2} - 81

$x^{2} - 81$

x^{2} - 81

$x^{2} - 81$

x^{2} - 81

$x^{2} - 81$

(x - 9) (x + 9)

$(x - 9) (x + 9)$

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

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