Algebra Examples

(x + 3) (x - 3)

$(x + 3) (x - 3)$

Step 1

Expand

(x + 3) (x - 3)

$(x + 3) (x - 3)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

x (x - 3) + 3 (x - 3)

$x (x - 3) + 3 (x - 3)$

Step 1.2

Apply the distributive property.

x \cdot x + x \cdot - 3 + 3 (x - 3)

$x \cdot x + x \cdot - 3 + 3 (x - 3)$

Step 1.3

Apply the distributive property.

x \cdot x + x \cdot - 3 + 3 x + 3 \cdot - 3

$x \cdot x + x \cdot - 3 + 3 x + 3 \cdot - 3$

x \cdot x + x \cdot - 3 + 3 x + 3 \cdot - 3

$x \cdot x + x \cdot - 3 + 3 x + 3 \cdot - 3$

Step 2

Simplify terms.

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Step 2.1

Combine the opposite terms in

x \cdot x + x \cdot - 3 + 3 x + 3 \cdot - 3

$x \cdot x + x \cdot - 3 + 3 x + 3 \cdot - 3$ .

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Step 2.1.1

Reorder the factors in the terms

x \cdot - 3

$x \cdot - 3$ and

3 x

$3 x$ .

x \cdot x - 3 x + 3 x + 3 \cdot - 3

$x \cdot x - 3 x + 3 x + 3 \cdot - 3$

Step 2.1.2

Add

- 3 x

$- 3 x$ and

3 x

$3 x$ .

x \cdot x + 0 + 3 \cdot - 3

$x \cdot x + 0 + 3 \cdot - 3$

Step 2.1.3

Add

x \cdot x

$x \cdot x$ and

0

$0$ .

x \cdot x + 3 \cdot - 3

$x \cdot x + 3 \cdot - 3$

x \cdot x + 3 \cdot - 3

$x \cdot x + 3 \cdot - 3$

Step 2.2

Simplify each term.

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Step 2.2.1

Multiply

x

$x$ by

x

$x$ .

x^{2} + 3 \cdot - 3

$x^{2} + 3 \cdot - 3$

Step 2.2.2

Multiply

3

$3$ by

- 3

$- 3$ .

x^{2} - 9

$x^{2} - 9$

x^{2} - 9

$x^{2} - 9$

x^{2} - 9

$x^{2} - 9$

(x + 3) (x - 3)

$(x + 3) (x - 3)$

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

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