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

The solution to 5/(x+2)+2/(x-1) is (7x-1)/((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{7 x - 1}{( 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) : 7 x - 1

= \frac{7 x - 1}{( x + 2 ) ( x - 1 )}

3 x (x - 1)

(x e^{- x})^{2}

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

\frac{\frac{x}{2}}{x}

7 (5 n - 8) + 6 (4 + 6 n)

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