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

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

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

simplify

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

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

Solution steps

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

Least Common Multiplier of

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

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

x + 1 - (x - 2) : 3

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

24 c^{4} d + 375 c d^{4}

\frac{3}{8} \times 3

2 ab + 18 a

80 \times 2

- 8 (0.09) (- 0.5)

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