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

The solution to 4/(x-2)+3/(x+4) is (7x+10)/((x-2)(x+4))

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

simplify

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

\frac{7 x + 10}{( x - 2 ) ( x + 4 )}

Solution steps

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

Least Common Multiplier of

x - 2, x + 4 : (x - 2) (x + 4)

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

4 (x + 4) + 3 (x - 2) : 7 x + 10

= \frac{7 x + 10}{( x - 2 ) ( x + 4 )}

(9 x + 1) (9 x - 1)

(- 7 x^{- 3} y)^{2} \cdot 2 x^{- 4} y^{- 2}

1.0 8^{10}

\frac{2}{x + 1} + \frac{2}{x - 1} + \frac{1}{x ^{2} - 1}

\frac{16}{3} + \frac{16}{3}

What is 4/(x-2)+3/(x+4) ?
The solution to 4/(x-2)+3/(x+4) is (7x+10)/((x-2)(x+4))