Algebra Examples

$\frac{x - 8}{10 x^{3} + 70 x^{2}} \div \frac{1}{x + 7}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{x - 8}{10 x^{3} + 70 x^{2}} (x + 7)$

Step 2

Factor $10 x^{2}$ out of $10 x^{3} + 70 x^{2}$ .

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Step 2.1

Factor $10 x^{2}$ out of $10 x^{3}$ .

$\frac{x - 8}{10 x^{2} (x) + 70 x^{2}} (x + 7)$

Step 2.2

Factor $10 x^{2}$ out of $70 x^{2}$ .

$\frac{x - 8}{10 x^{2} (x) + 10 x^{2} (7)} (x + 7)$

Step 2.3

Factor $10 x^{2}$ out of $10 x^{2} (x) + 10 x^{2} (7)$ .

$\frac{x - 8}{10 x^{2} (x + 7)} (x + 7)$

Step 3

Cancel the common factor of $x + 7$ .

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Step 3.1

Factor $x + 7$ out of $10 x^{2} (x + 7)$ .

$\frac{x - 8}{(x + 7) (10 x^{2})} (x + 7)$

Step 3.2

Cancel the common factor.

$\frac{x - 8}{(x + 7) (10 x^{2})} (x + 7)$

Step 3.3

Rewrite the expression.

$\frac{x - 8}{10 x^{2}}$