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

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

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

simplify

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

\frac{5 x + 2}{( x - 4 ) ( x + 7 )}

Solution steps

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

Least Common Multiplier of

x - 4, x + 7 : (x - 4) (x + 7)

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

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

= \frac{5 x + 2}{( x - 4 ) ( x + 7 )}

(8 x + 3)^{2}

lo g_{7} (x^{3}) - lo g_{7} (x)

\frac{4 - 4 i}{8 i}

\frac{1}{800} \div \frac{1}{32000}

(2 x + 2) (x - 3 y)

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