What is 2/(x+3)+3/(x-1) ?

The solution to 2/(x+3)+3/(x-1) is (5x+7)/((x+3)(x-1))

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simplify 2/(x+3)+3/(x-1)

simplify

\frac{2}{x + 3} + \frac{3}{x - 1}

\frac{5 x + 7}{( x + 3 ) ( x - 1 )}

Solution steps

\frac{2}{x + 3} + \frac{3}{x - 1}

Least Common Multiplier of

x + 3, x - 1 : (x + 3) (x - 1)

Adjust Fractions based on the LCM

= \frac{2 ( x - 1 )}{( x + 3 ) ( x - 1 )} + \frac{3 ( x + 3 )}{( x + 3 ) ( x - 1 )}

Apply the fraction rule:

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

= \frac{2 ( x - 1 ) + 3 ( x + 3 )}{( x + 3 ) ( x - 1 )}

Simplify

2 (x - 1) + 3 (x + 3) : 5 x + 7

= \frac{5 x + 7}{( x + 3 ) ( x - 1 )}

\frac{x ^{2} - 8 x + 12}{x ^{2} - 16} \cdot \frac{4 x + 16}{x ^{2} - 4 x + 4}

144 - - 1 - 25 + - 4

(x + 1) \cdot (x + 1)

\frac{x ^{2} + 2 x - 1}{x + 4} - (- x + 3)

ln (128) lo g_{2} (e)

What is 2/(x+3)+3/(x-1) ?
The solution to 2/(x+3)+3/(x-1) is (5x+7)/((x+3)(x-1))