Trigonometry Examples

$(v - 4) (v + 4)$

Step 1

Expand $(v - 4) (v + 4)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

$v (v + 4) - 4 (v + 4)$

Step 1.2

Apply the distributive property.

$v \cdot v + v \cdot 4 - 4 (v + 4)$

Step 1.3

Apply the distributive property.

$v \cdot v + v \cdot 4 - 4 v - 4 \cdot 4$

Step 2

Simplify terms.

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Step 2.1

Combine the opposite terms in $v \cdot v + v \cdot 4 - 4 v - 4 \cdot 4$ .

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Step 2.1.1

Reorder the factors in the terms $v \cdot 4$ and $- 4 v$ .

$v \cdot v + 4 v - 4 v - 4 \cdot 4$

Step 2.1.2

Subtract $4 v$ from $4 v$ .

$v \cdot v + 0 - 4 \cdot 4$

Step 2.1.3

Add $v \cdot v$ and $0$ .

$v \cdot v - 4 \cdot 4$

Step 2.2

Simplify each term.

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Step 2.2.1

Multiply $v$ by $v$ .

$v^{2} - 4 \cdot 4$

Step 2.2.2

Multiply $- 4$ by $4$ .

$v^{2} - 16$