What is (6m-6)/(m^2-4m+3)+(15)/(m^2-2m-3) ?

The solution to (6m-6)/(m^2-4m+3)+(15)/(m^2-2m-3) is (6m+21)/((m-3)(m+1))

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simplify (6m-6)/(m^2-4m+3)+(15)/(m^2-2m-3)

simplify

\frac{6 m - 6}{m ^{2} - 4 m + 3} + \frac{15}{m ^{2} - 2 m - 3}

\frac{6 m + 21}{( m - 3 ) ( m + 1 )}

Solution steps

\frac{6 m - 6}{m ^{2} - 4 m + 3} + \frac{15}{m ^{2} - 2 m - 3}

Cancel

\frac{6 m - 6}{m ^{2} - 4 m + 3} : \frac{6}{m - 3}

= \frac{6}{m - 3} + \frac{15}{m ^{2} - 2 m - 3}

Simplify

\frac{6}{m - 3} + \frac{15}{m ^{2} - 2 m - 3} : \frac{6 ( m + 1 ) + 15}{( m - 3 ) ( m + 1 )}

= \frac{6 ( m + 1 ) + 15}{( m - 3 ) ( m + 1 )}

Simplify

6 (m + 1) + 15 : 6 m + 21

= \frac{6 m + 21}{( m - 3 ) ( m + 1 )}

ln x^{2}

\frac{m ^{2} - 4 m - 12}{4 m ^{2} - 9} + \frac{m ^{2} + 3 m + 6}{4 m ^{2} - 9}

- 3 (0)

\frac{x ^{2} + 6 x - 7}{x ^{2} - x}

\frac{x ^{2} + y ^{2}}{x ^{2} + y ^{2} + 1 - 1}

What is (6m-6)/(m^2-4m+3)+(15)/(m^2-2m-3) ?
The solution to (6m-6)/(m^2-4m+3)+(15)/(m^2-2m-3) is (6m+21)/((m-3)(m+1))