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

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

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

simplify

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

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

Solution steps

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

Least Common Multiplier of

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

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

2 - (x + 2) : - x

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

Apply the fraction rule:

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

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

25 \cdot 4

2 (\frac{3}{5})

4 w^{2} - 11 w - 3

1 - sin^{2} (a)

\frac{38}{95}