What is (6/((x+h)^2)-6/(x^2))/h ?

The solution to (6/((x+h)^2)-6/(x^2))/h is -(6(2x+h))/(x^2(x+h)^2)

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simplify (6/((x+h)^2)-6/(x^2))/h

simplify

\frac{\frac{6}{( x + h ) ^{2}} - \frac{6}{x ^{2}}}{h}

- \frac{6 ( 2 x + h )}{x ^{2} ( x + h ) ^{2}}

Solution steps

\frac{\frac{6}{( x + h ) ^{2}} - \frac{6}{x ^{2}}}{h}

Join

\frac{6}{( x + h ) ^{2}} - \frac{6}{x ^{2}} : \frac{- 12 x h - 6 h ^{2}}{x ^{2} ( x + h ) ^{2}}

= \frac{\frac{- 12 x h - 6 h ^{2}}{x ^{2} ( x + h ) ^{2}}}{h}

Apply the fraction rule:

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

= \frac{- 12 x h - 6 h ^{2}}{x ^{2} ( x + h ) ^{2} h}

Cancel

\frac{- 12 x h - 6 h ^{2}}{x ^{2} ( x + h ) ^{2} h} : - \frac{6 ( 2 x + h )}{x ^{2} ( x + h ) ^{2}}

= - \frac{6 ( 2 x + h )}{x ^{2} ( x + h ) ^{2}}

320 x^{8} y^{19}

- 19.4 x = - 145.5

725

- 12 + 6

∣ x - 2 ∣ + ∣ 2 x + 3 ∣ = 6 x

What is (6/((x+h)^2)-6/(x^2))/h ?
The solution to (6/((x+h)^2)-6/(x^2))/h is -(6(2x+h))/(x^2(x+h)^2)