What is 5/(x+2)-2/(x-1) ?

The solution to 5/(x+2)-2/(x-1) is (3x-9)/((x+2)(x-1))

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simplify 5/(x+2)-2/(x-1)

simplify

\frac{5}{x + 2} - \frac{2}{x - 1}

\frac{3 x - 9}{( x + 2 ) ( x - 1 )}

Solution steps

\frac{5}{x + 2} - \frac{2}{x - 1}

Least Common Multiplier of

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

Adjust Fractions based on the LCM

= \frac{5 ( x - 1 )}{( x + 2 ) ( x - 1 )} - \frac{2 ( x + 2 )}{( x + 2 ) ( x - 1 )}

Apply the fraction rule:

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

= \frac{5 ( x - 1 ) - 2 ( x + 2 )}{( x + 2 ) ( x - 1 )}

Simplify

5 (x - 1) - 2 (x + 2) : 3 x - 9

= \frac{3 x - 9}{( x + 2 ) ( x - 1 )}

\frac{4}{1 - 5}

\frac{225}{100}

\frac{81}{6}

lo g_{\frac{1}{2}} (- 1)

- x^{2} - 2 x - 3

What is 5/(x+2)-2/(x-1) ?
The solution to 5/(x+2)-2/(x-1) is (3x-9)/((x+2)(x-1))