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

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

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

simplify

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

\frac{3 x + 5}{( x + 1 ) ( x + 2 )}

Solution steps

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

Least Common Multiplier of

x + 1, x + 2 : (x + 1) (x + 2)

Adjust Fractions based on the LCM

= \frac{2 ( x + 2 )}{( x + 1 ) ( x + 2 )} + \frac{x + 1}{( x + 1 ) ( x + 2 )}

Apply the fraction rule:

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

= \frac{2 ( x + 2 ) + x + 1}{( x + 1 ) ( x + 2 )}

Simplify

2 (x + 2) + x + 1 : 3 x + 5

= \frac{3 x + 5}{( x + 1 ) ( x + 2 )}

(6 x^{2} - 4 x - 5) - (3 x^{2} - 7 x + 2)

8 (2 x - 3) - 6 x

8 x^{3} + 64 y^{9}

9 a^{3} b^{2} + 12 a^{4} b

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