What is (m+3)/(5-m)-(m+3)/(m-5) ?

The solution to (m+3)/(5-m)-(m+3)/(m-5) is -(2(m+3))/(m-5)

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simplify (m+3)/(5-m)-(m+3)/(m-5)

simplify

\frac{m + 3}{5 - m} - \frac{m + 3}{m - 5}

- \frac{2 ( m + 3 )}{m - 5}

Solution steps

\frac{m + 3}{5 - m} - \frac{m + 3}{m - 5}

Join

\frac{m + 3}{5 - m} - \frac{m + 3}{m - 5} : - \frac{2 ( m + 3 )}{m - 5}

= - \frac{2 ( m + 3 )}{m - 5}

(2 x + 3) (3 x - 5)

\frac{3 x ^{2} - 18 x}{x ^{2} - 2 x - 24}

(2 x - 5) (3 x^{2} - 2 x + 6)

\frac{54}{9}

(x + 5) (x - 6)

What is (m+3)/(5-m)-(m+3)/(m-5) ?
The solution to (m+3)/(5-m)-(m+3)/(m-5) is -(2(m+3))/(m-5)