What is (7m)/((5m-8)(m-4))+(10)/((3m+7)(m-4)) ?

The solution to (7m)/((5m-8)(m-4))+(10)/((3m+7)(m-4)) is (21m^2+99m-80)/((m-4)(5m-8)(3m+7))

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simplify (7m)/((5m-8)(m-4))+(10)/((3m+7)(m-4))

simplify

\frac{7 m}{( 5 m - 8 ) ( m - 4 )} + \frac{10}{( 3 m + 7 ) ( m - 4 )}

\frac{21 m ^{2} + 99 m - 80}{( m - 4 ) ( 5 m - 8 ) ( 3 m + 7 )}

Solution steps

\frac{7 m}{( 5 m - 8 ) ( m - 4 )} + \frac{10}{( 3 m + 7 ) ( m - 4 )}

Least Common Multiplier of

(5 m - 8) (m - 4), (3 m + 7) (m - 4) : (m - 4) (5 m - 8) (3 m + 7)

Adjust Fractions based on the LCM

= \frac{7 m ( 3 m + 7 )}{( m - 4 ) ( 5 m - 8 ) ( 3 m + 7 )} + \frac{10 ( 5 m - 8 )}{( m - 4 ) ( 5 m - 8 ) ( 3 m + 7 )}

Apply the fraction rule:

\frac{a}{c} + \frac{b}{c} = \frac{a + b}{c}

= \frac{7 m ( 3 m + 7 ) + 10 ( 5 m - 8 )}{( m - 4 ) ( 5 m - 8 ) ( 3 m + 7 )}

Simplify

7 m (3 m + 7) + 10 (5 m - 8) : 21 m^{2} + 99 m - 80

= \frac{21 m ^{2} + 99 m - 80}{( m - 4 ) ( 5 m - 8 ) ( 3 m + 7 )}

∣ 2 x - 1 ∣ = 17

\frac{3}{4} - \frac{2}{3}

x^{2} + 24 = - 11 x

- 4 - 7

x^{2} - 10 x - 5 = 0

What is (7m)/((5m-8)(m-4))+(10)/((3m+7)(m-4)) ?
The solution to (7m)/((5m-8)(m-4))+(10)/((3m+7)(m-4)) is (21m^2+99m-80)/((m-4)(5m-8)(3m+7))