What is (3m^2-7m-6)/(m^2+2m-15) ?

The solution to (3m^2-7m-6)/(m^2+2m-15) is (3m+2)/(m+5)

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simplify (3m^2-7m-6)/(m^2+2m-15)

simplify

\frac{3 m ^{2} - 7 m - 6}{m ^{2} + 2 m - 15}

\frac{3 m + 2}{m + 5}

Solution steps

\frac{3 m ^{2} - 7 m - 6}{m ^{2} + 2 m - 15}

Factor

3 m^{2} - 7 m - 6 : (3 m + 2) (m - 3)

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

Factor

m^{2} + 2 m - 15 : (m - 3) (m + 5)

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

Cancel the common factor:

m - 3

= \frac{3 m + 2}{m + 5}

50 0^{0}

\frac{1}{9} \times 9

81 \times 5

\frac{6 - 6 5}{20}

i \cdot + i

What is (3m^2-7m-6)/(m^2+2m-15) ?
The solution to (3m^2-7m-6)/(m^2+2m-15) is (3m+2)/(m+5)