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Popular >

simplify (\frac{p-8)/(p^2-12p+32)}{1/(p-10)}

Solution

simplify

\frac{\frac{p - 8}{p ^{2} - 12 p + 32}}{\frac{1}{p - 10}}

Solution

\frac{p - 10}{p - 4}

Solution steps

\frac{\frac{p - 8}{p ^{2} - 12 p + 32}}{\frac{1}{p - 10}}

Apply the fraction rule:

\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a \cdot d}{b \cdot c}

= \frac{( p - 8 ) ( p - 10 )}{( p ^{2} - 12 p + 32 ) \cdot 1}

Apply rule:

a \cdot 1 = a

= \frac{( p - 8 ) ( p - 10 )}{p ^{2} - 12 p + 32}

Cancel

\frac{( p - 8 ) ( p - 10 )}{p ^{2} - 12 p + 32} : \frac{p - 10}{p - 4}

= \frac{p - 10}{p - 4}

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Frequently Asked Questions (FAQ)

What is (\frac{p-8)/(p^2-12p+32)}{1/(p-10)} ?
The solution to (\frac{p-8)/(p^2-12p+32)}{1/(p-10)} is (p-10)/(p-4)