What is (4m^2-14m+12)/(12m^2-27) ?

The solution to (4m^2-14m+12)/(12m^2-27) is (2(m-2))/(3(2m+3))

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simplify (4m^2-14m+12)/(12m^2-27)

simplify

\frac{4 m ^{2} - 14 m + 12}{12 m ^{2} - 27}

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

Solution steps

\frac{4 m ^{2} - 14 m + 12}{12 m ^{2} - 27}

Factor

4 m^{2} - 14 m + 12 : 2 (2 m - 3) (m - 2)

= \frac{2 ( 2 m - 3 ) ( m - 2 )}{12 m ^{2} - 27}

Factor

12 m^{2} - 27 : 3 (2 m + 3) (2 m - 3)

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

Cancel the common factor:

2 m - 3

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

\frac{( 4 - 3 i )}{i}

\frac{9 !}{6 ! 3 !}

3 x^{4} - 7 x^{3} + 5 x^{2} - 7 x + 2

\frac{1}{7} \cdot \frac{1}{7}

\frac{7 - 11 i}{14 - 13 i}

What is (4m^2-14m+12)/(12m^2-27) ?
The solution to (4m^2-14m+12)/(12m^2-27) is (2(m-2))/(3(2m+3))