What is 3/(x+7)+1/(x+2) ?

The solution to 3/(x+7)+1/(x+2) is (4x+13)/((x+7)(x+2))

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simplify 3/(x+7)+1/(x+2)

simplify

\frac{3}{x + 7} + \frac{1}{x + 2}

\frac{4 x + 13}{( x + 7 ) ( x + 2 )}

Solution steps

\frac{3}{x + 7} + \frac{1}{x + 2}

Least Common Multiplier of

x + 7, x + 2 : (x + 7) (x + 2)

Adjust Fractions based on the LCM

= \frac{3 ( x + 2 )}{( x + 7 ) ( x + 2 )} + \frac{x + 7}{( x + 7 ) ( x + 2 )}

Apply the fraction rule:

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

= \frac{3 ( x + 2 ) + x + 7}{( x + 7 ) ( x + 2 )}

Simplify

3 (x + 2) + x + 7 : 4 x + 13

= \frac{4 x + 13}{( x + 7 ) ( x + 2 )}

\frac{3 a ^{3} - 5 a b ^{2} - 6 a ^{2} b ^{3}}{- 2 a}

15 \times 5

(5 + 4 i)^{2}

\frac{3}{2} x^{2} + \frac{4}{3} x - \frac{7}{3} x^{2} + \frac{5}{2} x

(+ \frac{3}{5}) - (+ \frac{10}{5}) + (+ \frac{9}{5}) - (- \frac{3}{5})

What is 3/(x+7)+1/(x+2) ?
The solution to 3/(x+7)+1/(x+2) is (4x+13)/((x+7)(x+2))