What is 4/(m+9)+5/(m^2-81) ?

The solution to 4/(m+9)+5/(m^2-81) is (4m-31)/((m+9)(m-9))

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simplify 4/(m+9)+5/(m^2-81)

simplify

\frac{4}{m + 9} + \frac{5}{m ^{2} - 81}

\frac{4 m - 31}{( m + 9 ) ( m - 9 )}

Solution steps

\frac{4}{m + 9} + \frac{5}{m ^{2} - 81}

Least Common Multiplier of

m + 9, m^{2} - 81 : (m + 9) (m - 9)

Adjust Fractions based on the LCM

= \frac{4 ( m - 9 )}{( m + 9 ) ( m - 9 )} + \frac{5}{( m + 9 ) ( m - 9 )}

Apply the fraction rule:

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

= \frac{4 ( m - 9 ) + 5}{( m + 9 ) ( m - 9 )}

Simplify

4 (m - 9) + 5 : 4 m - 31

= \frac{4 m - 31}{( m + 9 ) ( m - 9 )}

4 (1 + x) = 20

- x^{2} + 10 x = 8

3 n^{2} - 8 n + 5

∣ 3 x + 2 ∣ > 14

x^{2} + 9 x = 70

What is 4/(m+9)+5/(m^2-81) ?
The solution to 4/(m+9)+5/(m^2-81) is (4m-31)/((m+9)(m-9))