What is 4/(x-1)-2/(x+2) ?

The solution to 4/(x-1)-2/(x+2) is (2x+10)/((x-1)(x+2))

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simplify 4/(x-1)-2/(x+2)

simplify

\frac{4}{x - 1} - \frac{2}{x + 2}

\frac{2 x + 10}{( x - 1 ) ( x + 2 )}

Solution steps

\frac{4}{x - 1} - \frac{2}{x + 2}

Least Common Multiplier of

x - 1, x + 2 : (x - 1) (x + 2)

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

4 (x + 2) - 2 (x - 1) : 2 x + 10

= \frac{2 x + 10}{( x - 1 ) ( x + 2 )}

(x + 4) 3

\frac{6}{5} + \frac{3}{2}

x \cdot (- 4) x

3 x + (2 + 7 x)

(- 4) + (- 5)

What is 4/(x-1)-2/(x+2) ?
The solution to 4/(x-1)-2/(x+2) is (2x+10)/((x-1)(x+2))