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

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

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

simplify

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

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

Solution steps

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

Join

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

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

Apply the fraction rule:

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

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

Apply the fraction rule:

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

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

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

Cancel the common factor:

h

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

\frac{∣ x ∣}{2} > 3

12 y - 11 y + 16 = - 22

27 (\frac{1}{3})

3 ∣ x + 2 ∣ - 5 = ∣ x + 2 ∣ + 7

3 (1 - 2 x) = 8

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