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

The solution to 2/(x+1)+3/(x+2) is (5x+7)/((x+1)(x+2))

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

simplify

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

\frac{5 x + 7}{( x + 1 ) ( x + 2 )}

Solution steps

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

Apply the fraction rule:

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

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

Simplify

2 (x + 2) + 3 (x + 1) : 5 x + 7

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

25 \div \frac{1}{5}

144 x^{2} - 49

0. 2^{7}

\frac{- 20 p ^{2} - 16 p}{- 4 p}

2 π 12

What is 2/(x+1)+3/(x+2) ?
The solution to 2/(x+1)+3/(x+2) is (5x+7)/((x+1)(x+2))