What is ((3/((x+h)^2)-3/(x^2)))/h ?

The solution to ((3/((x+h)^2)-3/(x^2)))/h is -(3(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 ((3/((x+h)^2)-3/(x^2)))/h

simplify

\frac{( \frac{3}{( x + h ) ^{2}} - \frac{3}{x ^{2}} )}{h}

- \frac{3 ( 2 x + h )}{x ^{2} ( x + h ) ^{2}}

Solution steps

\frac{\frac{3}{( x + h ) ^{2}} - \frac{3}{x ^{2}}}{h}

Join

\frac{3}{( x + h ) ^{2}} - \frac{3}{x ^{2}} : \frac{- 6 x h - 3 h ^{2}}{x ^{2} ( x + h ) ^{2}}

= \frac{\frac{- 6 x h - 3 h ^{2}}{x ^{2} ( x + h ) ^{2}}}{h}

Apply the fraction rule:

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

= \frac{- 6 x h - 3 h ^{2}}{x ^{2} ( x + h ) ^{2} h}

Cancel

\frac{- 6 x h - 3 h ^{2}}{x ^{2} ( x + h ) ^{2} h} : - \frac{3 ( 2 x + h )}{x ^{2} ( x + h ) ^{2}}

= - \frac{3 ( 2 x + h )}{x ^{2} ( x + h ) ^{2}}

\frac{- 6 j ^{- 9}}{( - 2 j ^{4} ) ^{3}}

3 x^{3} - x^{2} p or - 2 x

x^{3} - 3 x^{2} - 33 x + 35

- 2 x^{2} + 2 = 0

(11 a - 4) (2 a - 4) = 0

What is ((3/((x+h)^2)-3/(x^2)))/h ?
The solution to ((3/((x+h)^2)-3/(x^2)))/h is -(3(2x+h))/(x^2(x+h)^2)