Basic Math Examples

(v - 4) (v + 1)

$(v - 4) (v + 1)$

Step 1

Expand

(v - 4) (v + 1)

$(v - 4) (v + 1)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

v (v + 1) - 4 (v + 1)

$v (v + 1) - 4 (v + 1)$

Step 1.2

Apply the distributive property.

v \cdot v + v \cdot 1 - 4 (v + 1)

$v \cdot v + v \cdot 1 - 4 (v + 1)$

Step 1.3

Apply the distributive property.

v \cdot v + v \cdot 1 - 4 v - 4 \cdot 1

$v \cdot v + v \cdot 1 - 4 v - 4 \cdot 1$

v \cdot v + v \cdot 1 - 4 v - 4 \cdot 1

$v \cdot v + v \cdot 1 - 4 v - 4 \cdot 1$

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

$v$ by

v

$v$ .

v^{2} + v \cdot 1 - 4 v - 4 \cdot 1

$v^{2} + v \cdot 1 - 4 v - 4 \cdot 1$

Step 2.1.2

Multiply

v

$v$ by

1

$1$ .

v^{2} + v - 4 v - 4 \cdot 1

$v^{2} + v - 4 v - 4 \cdot 1$

Step 2.1.3

Multiply

- 4

$- 4$ by

1

$1$ .

v^{2} + v - 4 v - 4

$v^{2} + v - 4 v - 4$

v^{2} + v - 4 v - 4

$v^{2} + v - 4 v - 4$

Step 2.2

Subtract

4 v

$4 v$ from

v

$v$ .

v^{2} - 3 v - 4

$v^{2} - 3 v - 4$

v^{2} - 3 v - 4

$v^{2} - 3 v - 4$

(v - 4) (v + 1)

$(v - 4) (v + 1)$

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

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