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

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

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

simplify

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

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

Solution steps

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

Least Common Multiplier of

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

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

x - (x + h) : - h

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

Apply the fraction rule:

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

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

z^{2} + 9 z + 14

2 - 0

4 X^{2} - 37 X + 9 = 0

4 x^{2} = - 20

π - π