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

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

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

simplify

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

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

Solution steps

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

Least Common Multiplier of

x, x + 2 : x (x + 2)

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

x + 2 - 3 x : - 2 x + 2

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

\frac{3 ( d ^{3} ) ^{4}}{6 d ^{7}}

(w + 2) (w - 5)

(7 b^{2} + 2 x)^{3}

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