What is 2/(x+3)+(x+7)/(x-4) ?

The solution to 2/(x+3)+(x+7)/(x-4) is (x^2+12x+13)/((x+3)(x-4))

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simplify 2/(x+3)+(x+7)/(x-4)

simplify

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

\frac{x ^{2} + 12 x + 13}{( x + 3 ) ( x - 4 )}

Solution steps

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

Least Common Multiplier of

x + 3, x - 4 : (x + 3) (x - 4)

Adjust Fractions based on the LCM

= \frac{2 ( x - 4 )}{( x + 3 ) ( x - 4 )} + \frac{( x + 7 ) ( x + 3 )}{( x + 3 ) ( x - 4 )}

Apply the fraction rule:

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

= \frac{2 ( x - 4 ) + ( x + 7 ) ( x + 3 )}{( x + 3 ) ( x - 4 )}

Simplify

2 (x - 4) + (x + 7) (x + 3) : x^{2} + 12 x + 13

= \frac{x ^{2} + 12 x + 13}{( x + 3 ) ( x - 4 )}

0.96

\frac{50}{9}

(\frac{1}{2} + \frac{3}{2} i)^{3}

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

(3 x + 2) (x - 4)

What is 2/(x+3)+(x+7)/(x-4) ?
The solution to 2/(x+3)+(x+7)/(x-4) is (x^2+12x+13)/((x+3)(x-4))