What is 4/(m+1)+3/(m-2) ?

The solution to 4/(m+1)+3/(m-2) is (7m-5)/((m+1)(m-2))

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simplify 4/(m+1)+3/(m-2)

simplify

\frac{4}{m + 1} + \frac{3}{m - 2}

\frac{7 m - 5}{( m + 1 ) ( m - 2 )}

Solution steps

\frac{4}{m + 1} + \frac{3}{m - 2}

Least Common Multiplier of

m + 1, m - 2 : (m + 1) (m - 2)

Adjust Fractions based on the LCM

= \frac{4 ( m - 2 )}{( m + 1 ) ( m - 2 )} + \frac{3 ( m + 1 )}{( m + 1 ) ( m - 2 )}

Apply the fraction rule:

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

= \frac{4 ( m - 2 ) + 3 ( m + 1 )}{( m + 1 ) ( m - 2 )}

Simplify

4 (m - 2) + 3 (m + 1) : 7 m - 5

= \frac{7 m - 5}{( m + 1 ) ( m - 2 )}

\frac{( x ^{2} + x + 3 ) ( x - 2 )}{( x - 3 ) ( x + 1 )} \leq 0

\frac{9 x}{7} = 18

\frac{10 !}{5 ! \cdot 5 !}

∣ 3 x - 6 ∣ < 9

x - 13 = 4 (3 x - 4 (x - 2))

What is 4/(m+1)+3/(m-2) ?
The solution to 4/(m+1)+3/(m-2) is (7m-5)/((m+1)(m-2))