Basic Math Examples

(v - 7) (v - 1)

$(v - 7) (v - 1)$

Step 1

Expand

$(v - 7) (v - 1)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

$v (v - 1) - 7 (v - 1)$

Step 1.2

Apply the distributive property.

$v \cdot v + v \cdot - 1 - 7 (v - 1)$

Step 1.3

Apply the distributive property.

$v \cdot v + v \cdot - 1 - 7 v - 7 \cdot - 1$

$v \cdot v + v \cdot - 1 - 7 v - 7 \cdot - 1$

Step 2

Simplify and combine like terms.

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Step 2.1

Simplify each term.

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Step 2.1.1

Multiply

$v$ by

$v$ .

$v^{2} + v \cdot - 1 - 7 v - 7 \cdot - 1$

Step 2.1.2

Move

$- 1$ to the left of

$v$ .

$v^{2} - 1 \cdot v - 7 v - 7 \cdot - 1$

Step 2.1.3

Rewrite

$- 1 v$ as

$- v$ .

$v^{2} - v - 7 v - 7 \cdot - 1$

Step 2.1.4

Multiply

$- 7$ by

$- 1$ .

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

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

Step 2.2

Subtract

$7 v$ from

$- v$ .

$v^{2} - 8 v + 7$

$v^{2} - 8 v + 7$

$(v - 7) (v - 1)$

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