What is (ab^2-5ab)/(bc-5c) ?

The solution to (ab^2-5ab)/(bc-5c) is (ab)/c

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simplify (ab^2-5ab)/(bc-5c)

simplify

\frac{a b ^{2} - 5 ab}{b c - 5 c}

\frac{ab}{c}

Solution steps

\frac{a b ^{2} - 5 ab}{b c - 5 c}

Factor

a b^{2} - 5 ab : ab (b - 5)

= \frac{ab ( b - 5 )}{b c - 5 c}

Factor out common term

c

= \frac{ab ( b - 5 )}{c ( b - 5 )}

Cancel the common factor:

b - 5

= \frac{ab}{c}

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