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

The solution to 2/(x+2)+3/(x+3) is (5x+12)/((x+2)(x+3))

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

simplify

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

\frac{5 x + 12}{( x + 2 ) ( x + 3 )}

Solution steps

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

Least Common Multiplier of

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

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

2 (x + 3) + 3 (x + 2) : 5 x + 12

= \frac{5 x + 12}{( x + 2 ) ( x + 3 )}

\frac{b ^{- 17} b ^{11}}{b ^{- 5}}

(\frac{x ^{3}}{3})^{2}

(x + 1)^{2} + (x - 2)^{2}

\frac{3 x}{6}

\frac{130}{8}

What is 2/(x+2)+3/(x+3) ?
The solution to 2/(x+2)+3/(x+3) is (5x+12)/((x+2)(x+3))