What is 4/(x-2)+3/(x+5) ?

The solution to 4/(x-2)+3/(x+5) is (7x+14)/((x-2)(x+5))

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simplify 4/(x-2)+3/(x+5)

simplify

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

\frac{7 x + 14}{( x - 2 ) ( x + 5 )}

Solution steps

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

Least Common Multiplier of

x - 2, x + 5 : (x - 2) (x + 5)

Adjust Fractions based on the LCM

= \frac{4 ( x + 5 )}{( x - 2 ) ( x + 5 )} + \frac{3 ( x - 2 )}{( x - 2 ) ( x + 5 )}

Apply the fraction rule:

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

= \frac{4 ( x + 5 ) + 3 ( x - 2 )}{( x - 2 ) ( x + 5 )}

Simplify

4 (x + 5) + 3 (x - 2) : 7 x + 14

= \frac{7 x + 14}{( x - 2 ) ( x + 5 )}

a^{m} \cdot a^{m + 1}

3 a + 7 b + 2 c - a - 4 b

(5 x - 3) (5 x + 3)

x y^{2} - y^{2} + x - 1

aaa + bbb

What is 4/(x-2)+3/(x+5) ?
The solution to 4/(x-2)+3/(x+5) is (7x+14)/((x-2)(x+5))