What is (9/((x+h)^2)-9/(x^2))/h ?

The solution to (9/((x+h)^2)-9/(x^2))/h is -(9(2x+h))/(x^2(x+h)^2)

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simplify (9/((x+h)^2)-9/(x^2))/h

simplify

\frac{\frac{9}{( x + h ) ^{2}} - \frac{9}{x ^{2}}}{h}

- \frac{9 ( 2 x + h )}{x ^{2} ( x + h ) ^{2}}

Solution steps

\frac{\frac{9}{( x + h ) ^{2}} - \frac{9}{x ^{2}}}{h}

Join

\frac{9}{( x + h ) ^{2}} - \frac{9}{x ^{2}} : \frac{- 18 x h - 9 h ^{2}}{x ^{2} ( x + h ) ^{2}}

= \frac{\frac{- 18 x h - 9 h ^{2}}{x ^{2} ( x + h ) ^{2}}}{h}

Apply the fraction rule:

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

= \frac{- 18 x h - 9 h ^{2}}{x ^{2} ( x + h ) ^{2} h}

Cancel

\frac{- 18 x h - 9 h ^{2}}{x ^{2} ( x + h ) ^{2} h} : - \frac{9 ( 2 x + h )}{x ^{2} ( x + h ) ^{2}}

= - \frac{9 ( 2 x + h )}{x ^{2} ( x + h ) ^{2}}

(5 - 2)^{2}

x^{2} + 11 x + 18 \geq 0

22 x - 13 = 12 x - 23

u^{2} + 12 u + 36

\frac{11}{23} - (- 1)

What is (9/((x+h)^2)-9/(x^2))/h ?
The solution to (9/((x+h)^2)-9/(x^2))/h is -(9(2x+h))/(x^2(x+h)^2)