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Popular >

simplify (m^2-25)/(m^2+5m)

Solution

simplify

\frac{m ^{2} - 25}{m ^{2} + 5 m}

Solution

\frac{m - 5}{m}

Solution steps

\frac{m ^{2} - 25}{m ^{2} + 5 m}

Factor

m^{2} - 25 : (m + 5) (m - 5)

= \frac{( m + 5 ) ( m - 5 )}{m ^{2} + 5 m}

Factor

m^{2} + 5 m : m (m + 5)

= \frac{( m + 5 ) ( m - 5 )}{m ( m + 5 )}

Cancel the common factor:

m + 5

= \frac{m - 5}{m}

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Frequently Asked Questions (FAQ)

What is (m^2-25)/(m^2+5m) ?
The solution to (m^2-25)/(m^2+5m) is (m-5)/m