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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

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

Solution steps

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

Join

\frac{2}{( x + h ) ^{2}} - \frac{2}{x ^{2}} : \frac{- 4 x h - 2 h ^{2}}{x ^{2} ( x + h ) ^{2}}

= \frac{\frac{- 4 x h - 2 h ^{2}}{x ^{2} ( x + h ) ^{2}}}{h}

Apply the fraction rule:

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

= \frac{- 4 x h - 2 h ^{2}}{x ^{2} ( x + h ) ^{2} h}

Cancel

\frac{- 4 x h - 2 h ^{2}}{x ^{2} ( x + h ) ^{2} h} : - \frac{2 ( 2 x + h )}{x ^{2} ( x + h ) ^{2}}

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

\frac{4 i}{- 8 - 7 i}

\frac{1}{3} + \frac{5}{8}

∣ x + 4 ∣ = ∣ x - 7 ∣

(3 y)^{2}

\frac{128 x ^{3} z ^{3}}{46 x y ^{2} z}

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