What is 1/(x+2)+1/(x+3) ?

The solution to 1/(x+2)+1/(x+3) is (2x+5)/((x+2)(x+3))

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simplify 1/(x+2)+1/(x+3)

simplify

\frac{1}{x + 2} + \frac{1}{x + 3}

\frac{2 x + 5}{( x + 2 ) ( x + 3 )}

Solution steps

\frac{1}{x + 2} + \frac{1}{x + 3}

Least Common Multiplier of

x + 2, x + 3 : (x + 2) (x + 3)

Adjust Fractions based on the LCM

= \frac{x + 3}{( x + 2 ) ( x + 3 )} + \frac{x + 2}{( x + 2 ) ( x + 3 )}

Apply the fraction rule:

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

= \frac{x + 3 + x + 2}{( x + 2 ) ( x + 3 )}

Simplify

x + 3 + x + 2 : 2 x + 5

= \frac{2 x + 5}{( x + 2 ) ( x + 3 )}

\frac{1}{x + 2} + \frac{1}{x - 2}

- 21 \div 3

\frac{9}{8} \cdot \frac{3}{8}

(\frac{3 a ^{5}}{9 a ^{- 4}})^{- 2}

2 y^{2} + 9 y - 18

What is 1/(x+2)+1/(x+3) ?
The solution to 1/(x+2)+1/(x+3) is (2x+5)/((x+2)(x+3))