Trigonometry Examples

$\frac{- 15 + 3 v}{7} \cdot \frac{4 v - 20}{49}$

Step 1

Factor $3$ out of $- 15 + 3 v$ .

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Step 1.1

Factor $3$ out of $- 15$ .

$\frac{3 \cdot - 5 + 3 v}{7} \cdot \frac{4 v - 20}{49}$

Step 1.2

Factor $3$ out of $3 \cdot - 5 + 3 v$ .

$\frac{3 (- 5 + v)}{7} \cdot \frac{4 v - 20}{49}$

Step 2

Factor $4$ out of $4 v - 20$ .

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Step 2.1

Factor $4$ out of $4 v$ .

$\frac{3 (- 5 + v)}{7} \cdot \frac{4 (v) - 20}{49}$

Step 2.2

Factor $4$ out of $- 20$ .

$\frac{3 (- 5 + v)}{7} \cdot \frac{4 v + 4 \cdot - 5}{49}$

Step 2.3

Factor $4$ out of $4 v + 4 \cdot - 5$ .

$\frac{3 (- 5 + v)}{7} \cdot \frac{4 (v - 5)}{49}$

Step 3

Multiply $\frac{3 (- 5 + v)}{7} \cdot \frac{4 (v - 5)}{49}$ .

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Step 3.1

Multiply $\frac{3 (- 5 + v)}{7}$ by $\frac{4 (v - 5)}{49}$ .

$\frac{3 (- 5 + v) (4 (v - 5))}{7 \cdot 49}$

Step 3.2

Multiply $4$ by $3$ .

$\frac{12 (- 5 + v) (v - 5)}{7 \cdot 49}$

Step 3.3

Reorder terms.

$\frac{12 (v - 5) (v - 5)}{7 \cdot 49}$

Step 3.4

Raise $v - 5$ to the power of $1$ .

$\frac{12 ({(v - 5)}^{1} (v - 5))}{7 \cdot 49}$

Step 3.5

Raise $v - 5$ to the power of $1$ .

$\frac{12 ({(v - 5)}^{1} {(v - 5)}^{1})}{7 \cdot 49}$

Step 3.6

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{12 {(v - 5)}^{1 + 1}}{7 \cdot 49}$

Step 3.7

Add $1$ and $1$ .

$\frac{12 {(v - 5)}^{2}}{7 \cdot 49}$

Step 3.8

Multiply $7$ by $49$ .

$\frac{12 {(v - 5)}^{2}}{343}$