What is 2/(m+3)+9/(m^2+8m+15) ?

The solution to 2/(m+3)+9/(m^2+8m+15) is (2m+19)/((m+3)(m+5))

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simplify 2/(m+3)+9/(m^2+8m+15)

simplify

\frac{2}{m + 3} + \frac{9}{m ^{2} + 8 m + 15}

\frac{2 m + 19}{( m + 3 ) ( m + 5 )}

Solution steps

\frac{2}{m + 3} + \frac{9}{m ^{2} + 8 m + 15}

Least Common Multiplier of

m + 3, m^{2} + 8 m + 15 : (m + 3) (m + 5)

Adjust Fractions based on the LCM

= \frac{2 ( m + 5 )}{( m + 3 ) ( m + 5 )} + \frac{9}{( m + 3 ) ( m + 5 )}

Apply the fraction rule:

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

= \frac{2 ( m + 5 ) + 9}{( m + 3 ) ( m + 5 )}

Simplify

2 (m + 5) + 9 : 2 m + 19

= \frac{2 m + 19}{( m + 3 ) ( m + 5 )}

3 x^{3} - 2 x^{2} - 27 x + 18

U (t)

lo g_{3} (3) + lo g_{3} (9)

\frac{5}{- 4 - 6}

(3 x) (5 x)

What is 2/(m+3)+9/(m^2+8m+15) ?
The solution to 2/(m+3)+9/(m^2+8m+15) is (2m+19)/((m+3)(m+5))