Algebra Examples

(z - 3) (z + 3)

$(z - 3) (z + 3)$

Step 1

Expand

(z - 3) (z + 3)

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

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Step 1.1

Apply the distributive property.

z (z + 3) - 3 (z + 3)

$z (z + 3) - 3 (z + 3)$

Step 1.2

Apply the distributive property.

z \cdot z + z \cdot 3 - 3 (z + 3)

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

Step 1.3

Apply the distributive property.

z \cdot z + z \cdot 3 - 3 z - 3 \cdot 3

$z \cdot z + z \cdot 3 - 3 z - 3 \cdot 3$

z \cdot z + z \cdot 3 - 3 z - 3 \cdot 3

$z \cdot z + z \cdot 3 - 3 z - 3 \cdot 3$

Step 2

Simplify terms.

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Step 2.1

Combine the opposite terms in

z \cdot z + z \cdot 3 - 3 z - 3 \cdot 3

$z \cdot z + z \cdot 3 - 3 z - 3 \cdot 3$ .

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Step 2.1.1

Reorder the factors in the terms

z \cdot 3

$z \cdot 3$ and

- 3 z

$- 3 z$ .

z \cdot z + 3 z - 3 z - 3 \cdot 3

$z \cdot z + 3 z - 3 z - 3 \cdot 3$

Step 2.1.2

Subtract

3 z

$3 z$ from

3 z

$3 z$ .

z \cdot z + 0 - 3 \cdot 3

$z \cdot z + 0 - 3 \cdot 3$

Step 2.1.3

Add

z \cdot z

$z \cdot z$ and

0

$0$ .

z \cdot z - 3 \cdot 3

$z \cdot z - 3 \cdot 3$

z \cdot z - 3 \cdot 3

$z \cdot z - 3 \cdot 3$

Step 2.2

Simplify each term.

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Step 2.2.1

Multiply

z

$z$ by

z

$z$ .

z^{2} - 3 \cdot 3

$z^{2} - 3 \cdot 3$

Step 2.2.2

Multiply

- 3

$- 3$ by

3

$3$ .

z^{2} - 9

$z^{2} - 9$

z^{2} - 9

$z^{2} - 9$

z^{2} - 9

$z^{2} - 9$

(z - 3) (z + 3)

$(z - 3) (z + 3)$

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

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