What is 4/(a+1)+3/(a+2) ?

The solution to 4/(a+1)+3/(a+2) is (7a+11)/((a+1)(a+2))

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simplify 4/(a+1)+3/(a+2)

simplify

\frac{4}{a + 1} + \frac{3}{a + 2}

\frac{7 a + 11}{( a + 1 ) ( a + 2 )}

Solution steps

\frac{4}{a + 1} + \frac{3}{a + 2}

Least Common Multiplier of

a + 1, a + 2 : (a + 1) (a + 2)

Adjust Fractions based on the LCM

= \frac{4 ( a + 2 )}{( a + 1 ) ( a + 2 )} + \frac{3 ( a + 1 )}{( a + 1 ) ( a + 2 )}

Apply the fraction rule:

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

= \frac{4 ( a + 2 ) + 3 ( a + 1 )}{( a + 1 ) ( a + 2 )}

Simplify

4 (a + 2) + 3 (a + 1) : 7 a + 11

= \frac{7 a + 11}{( a + 1 ) ( a + 2 )}

x^{3} + 2 x^{2} - 8 x

x^{2} - 8 x - 48

9 x^{2} = 81

\frac{3}{2} \cdot \frac{2}{2}

\frac{5 ( 7 ^{6} )}{7 ^{10} ( 5 ^{5} )}

What is 4/(a+1)+3/(a+2) ?
The solution to 4/(a+1)+3/(a+2) is (7a+11)/((a+1)(a+2))