What is expand ((x+h)^{-1})/h ?

The solution to expand ((x+h)^{-1})/h is 1/(xh+h^2)

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expand ((x+h)^{-1})/h

expand

\frac{( x + h ) ^{- 1}}{h}

\frac{1}{x h + h ^{2}}

Solution steps

\frac{( x + h ) ^{- 1}}{h}

Apply exponent rule:

a^{- 1} = \frac{1}{a}

(x + h)^{- 1} = \frac{1}{x + h}

= \frac{\frac{1}{x + h}}{h}

Apply the fraction rule:

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

= \frac{1}{( x + h ) h}

Expand

(x + h) h : x h + h^{2}

= \frac{1}{x h + h ^{2}}

2 (3 e^{- 2 x} + 4 e^{x})

(2 (a - m c + n e) + m r (e - l)) r (e - l)

ln (e - (e + 2) (e - 2))

\frac{40}{s ^{2} ( s ^{2} + 16 )}

(1 + x + x^{2})^{7}

What is expand ((x+h)^{-1})/h ?
The solution to expand ((x+h)^{-1})/h is 1/(xh+h^2)