Algebra Examples

(v + 7) (v - 7)

$(v + 7) (v - 7)$

Step 1

Expand

(v + 7) (v - 7)

$(v + 7) (v - 7)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

v (v - 7) + 7 (v - 7)

$v (v - 7) + 7 (v - 7)$

Step 1.2

Apply the distributive property.

v \cdot v + v \cdot - 7 + 7 (v - 7)

$v \cdot v + v \cdot - 7 + 7 (v - 7)$

Step 1.3

Apply the distributive property.

v \cdot v + v \cdot - 7 + 7 v + 7 \cdot - 7

$v \cdot v + v \cdot - 7 + 7 v + 7 \cdot - 7$

v \cdot v + v \cdot - 7 + 7 v + 7 \cdot - 7

$v \cdot v + v \cdot - 7 + 7 v + 7 \cdot - 7$

Step 2

Simplify terms.

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Step 2.1

Combine the opposite terms in

v \cdot v + v \cdot - 7 + 7 v + 7 \cdot - 7

$v \cdot v + v \cdot - 7 + 7 v + 7 \cdot - 7$ .

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Step 2.1.1

Reorder the factors in the terms

v \cdot - 7

$v \cdot - 7$ and

7 v

$7 v$ .

v \cdot v - 7 v + 7 v + 7 \cdot - 7

$v \cdot v - 7 v + 7 v + 7 \cdot - 7$

Step 2.1.2

Add

- 7 v

$- 7 v$ and

7 v

$7 v$ .

v \cdot v + 0 + 7 \cdot - 7

$v \cdot v + 0 + 7 \cdot - 7$

Step 2.1.3

Add

v \cdot v

$v \cdot v$ and

0

$0$ .

v \cdot v + 7 \cdot - 7

$v \cdot v + 7 \cdot - 7$

v \cdot v + 7 \cdot - 7

$v \cdot v + 7 \cdot - 7$

Step 2.2

Simplify each term.

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Step 2.2.1

Multiply

v

$v$ by

v

$v$ .

v^{2} + 7 \cdot - 7

$v^{2} + 7 \cdot - 7$

Step 2.2.2

Multiply

$7$ by

$- 7$ .

$v^{2} - 49$

$v^{2} - 49$

$v^{2} - 49$

$(v + 7) (v - 7)$

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