Basic Math Examples

$(7 - v) (2 v - 3)$

Step 1

Expand $(7 - v) (2 v - 3)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

$7 (2 v - 3) - v (2 v - 3)$

Step 1.2

Apply the distributive property.

$7 (2 v) + 7 \cdot - 3 - v (2 v - 3)$

Step 1.3

Apply the distributive property.

$7 (2 v) + 7 \cdot - 3 - v (2 v) - v \cdot - 3$

$7 (2 v) + 7 \cdot - 3 - v (2 v) - v \cdot - 3$

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 $2$ by $7$ .

$14 v + 7 \cdot - 3 - v (2 v) - v \cdot - 3$

Step 2.1.2

Multiply $7$ by $- 3$ .

$14 v - 21 - v (2 v) - v \cdot - 3$

Step 2.1.3

Rewrite using the commutative property of multiplication.

$14 v - 21 - 1 \cdot 2 v \cdot v - v \cdot - 3$

Step 2.1.4

Multiply $v$ by $v$ by adding the exponents.

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Step 2.1.4.1

Move $v$ .

$14 v - 21 - 1 \cdot 2 (v \cdot v) - v \cdot - 3$

Step 2.1.4.2

Multiply $v$ by $v$ .

$14 v - 21 - 1 \cdot 2 v^{2} - v \cdot - 3$

$14 v - 21 - 1 \cdot 2 v^{2} - v \cdot - 3$

Step 2.1.5

Multiply $- 1$ by $2$ .

$14 v - 21 - 2 v^{2} - v \cdot - 3$

Step 2.1.6

Multiply $- 3$ by $- 1$ .

$14 v - 21 - 2 v^{2} + 3 v$

$14 v - 21 - 2 v^{2} + 3 v$

Step 2.2

Add $14 v$ and $3 v$ .

$17 v - 21 - 2 v^{2}$

$17 v - 21 - 2 v^{2}$

Step 3

Move $- 21$ .

$17 v - 2 v^{2} - 21$

Step 4

Reorder $17 v$ and $- 2 v^{2}$ .

$- 2 v^{2} + 17 v - 21$

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