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

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

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

simplify

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

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

Solution steps

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

Least Common Multiplier of

x + h, x : x (x + h)

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

2 x - 2 (x + h) : - 2 h

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

Apply the fraction rule:

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

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

lo g_{10} (2)

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

\frac{π}{3} + \frac{π}{12}

2 - y^{2} + 2 x - x y^{2}

3 z^{2} + 2 z - 12 z^{2} - 8