Algebra Examples

$\frac{(v - 7) (v + 8)}{(v + 8) (v - 10)} \div \frac{1}{v - 10}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{(v - 7) (v + 8)}{(v + 8) (v - 10)} (v - 10)$

Step 2

Cancel the common factor of $v - 10$ .

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Step 2.1

Factor $v - 10$ out of $(v + 8) (v - 10)$ .

$\frac{(v - 7) (v + 8)}{(v - 10) (v + 8)} (v - 10)$

Step 2.2

Cancel the common factor.

$\frac{(v - 7) (v + 8)}{(v - 10) (v + 8)} (v - 10)$

Step 2.3

Rewrite the expression.

$\frac{(v - 7) (v + 8)}{v + 8}$

Step 3

Cancel the common factor of $v + 8$ .

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Step 3.1

Cancel the common factor.

$\frac{(v - 7) (v + 8)}{v + 8}$

Step 3.2

Divide $v - 7$ by $1$ .

$v - 7$