What is (8/((x+h)^2)-8/(x^2))/h ?

The solution to (8/((x+h)^2)-8/(x^2))/h is -(8(2x+h))/(x^2(x+h)^2)

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simplify (8/((x+h)^2)-8/(x^2))/h

simplify

\frac{\frac{8}{( x + h ) ^{2}} - \frac{8}{x ^{2}}}{h}

- \frac{8 ( 2 x + h )}{x ^{2} ( x + h ) ^{2}}

Solution steps

\frac{\frac{8}{( x + h ) ^{2}} - \frac{8}{x ^{2}}}{h}

Join

\frac{8}{( x + h ) ^{2}} - \frac{8}{x ^{2}} : \frac{- 16 x h - 8 h ^{2}}{x ^{2} ( x + h ) ^{2}}

= \frac{\frac{- 16 x h - 8 h ^{2}}{x ^{2} ( x + h ) ^{2}}}{h}

Apply the fraction rule:

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

= \frac{- 16 x h - 8 h ^{2}}{x ^{2} ( x + h ) ^{2} h}

Cancel

\frac{- 16 x h - 8 h ^{2}}{x ^{2} ( x + h ) ^{2} h} : - \frac{8 ( 2 x + h )}{x ^{2} ( x + h ) ^{2}}

= - \frac{8 ( 2 x + h )}{x ^{2} ( x + h ) ^{2}}

(x + 6)^{2} - (x - 3)^{2}

(x - 1) (x - 5) = 0

- 90 - 840

(\frac{1}{2})^{- 6}

\frac{\frac{π}{2}}{1}

What is (8/((x+h)^2)-8/(x^2))/h ?
The solution to (8/((x+h)^2)-8/(x^2))/h is -(8(2x+h))/(x^2(x+h)^2)