Algebra Examples

$(b + 3) (b - 3)$

Step 1

Expand

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

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Step 1.1

Apply the distributive property.

$b (b - 3) + 3 (b - 3)$

Step 1.2

Apply the distributive property.

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

Step 1.3

Apply the distributive property.

$b \cdot b + b \cdot - 3 + 3 b + 3 \cdot - 3$

$b \cdot b + b \cdot - 3 + 3 b + 3 \cdot - 3$

Step 2

Simplify terms.

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Step 2.1

Combine the opposite terms in

$b \cdot b + b \cdot - 3 + 3 b + 3 \cdot - 3$ .

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Step 2.1.1

Reorder the factors in the terms

$b \cdot - 3$ and

$3 b$ .

$b \cdot b - 3 b + 3 b + 3 \cdot - 3$

Step 2.1.2

Add

$- 3 b$ and

$3 b$ .

$b \cdot b + 0 + 3 \cdot - 3$

Step 2.1.3

Add

$b \cdot b$ and

$0$ .

$b \cdot b + 3 \cdot - 3$

$b \cdot b + 3 \cdot - 3$

Step 2.2

Simplify each term.

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Step 2.2.1

Multiply

$b$ by

$b$ .

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

Step 2.2.2

Multiply

$3$ by

$- 3$ .

$b^{2} - 9$

$b^{2} - 9$

$b^{2} - 9$

$(b + 3) (b - 3)$

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