What is 7/(x-3)+3/(x+5) ?

The solution to 7/(x-3)+3/(x+5) is (10x+26)/((x-3)(x+5))

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simplify 7/(x-3)+3/(x+5)

simplify

\frac{7}{x - 3} + \frac{3}{x + 5}

\frac{10 x + 26}{( x - 3 ) ( x + 5 )}

Solution steps

\frac{7}{x - 3} + \frac{3}{x + 5}

Least Common Multiplier of

x - 3, x + 5 : (x - 3) (x + 5)

Adjust Fractions based on the LCM

= \frac{7 ( x + 5 )}{( x - 3 ) ( x + 5 )} + \frac{3 ( x - 3 )}{( x - 3 ) ( x + 5 )}

Apply the fraction rule:

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

= \frac{7 ( x + 5 ) + 3 ( x - 3 )}{( x - 3 ) ( x + 5 )}

Simplify

7 (x + 5) + 3 (x - 3) : 10 x + 26

= \frac{10 x + 26}{( x - 3 ) ( x + 5 )}

lo g_{2} (x - 1) - 3 lo g_{2} (x) - 2 lo g_{2} (x + 1)

(0.3)^{2} + 3.2

- (- 8)

\frac{2 3 + 6 3 - 2 3}{2 + 2}

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

What is 7/(x-3)+3/(x+5) ?
The solution to 7/(x-3)+3/(x+5) is (10x+26)/((x-3)(x+5))