What is (m^2+5m+6)/(m^2-4)+2/(m-2) ?

The solution to (m^2+5m+6)/(m^2-4)+2/(m-2) is (m+5)/(m-2)

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simplify (m^2+5m+6)/(m^2-4)+2/(m-2)

simplify

\frac{m ^{2} + 5 m + 6}{m ^{2} - 4} + \frac{2}{m - 2}

\frac{m + 5}{m - 2}

Solution steps

\frac{m ^{2} + 5 m + 6}{m ^{2} - 4} + \frac{2}{m - 2}

Cancel

\frac{m ^{2} + 5 m + 6}{m ^{2} - 4} : \frac{m + 3}{m - 2}

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

Apply the fraction rule:

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

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

Add the numbers:

3 + 2 = 5

= \frac{m + 5}{m - 2}

\frac{1}{a ^{2} b ^{- 3}} (a^{2} b^{- 3})^{- 1}

2 (3 - 5 x) > 18 - 8 x

\frac{1}{15}

- x^{2} + (8 \cdot 1 0^{- 6}) x = 4.17 x 1 0^{- 12}

2 x^{2} y - 6 x y^{2} + 3 x y

What is (m^2+5m+6)/(m^2-4)+2/(m-2) ?
The solution to (m^2+5m+6)/(m^2-4)+2/(m-2) is (m+5)/(m-2)