What is expand ([(a+h)]-[(a)]^3)/h ?

The solution to expand ([(a+h)]-[(a)]^3)/h is a/h+1-(a^3)/h

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expand ([(a+h)]-[(a)]^3)/h

expand

\frac{[ ( a + h ) ] - [ ( a ) ] ^{3}}{h}

\frac{a}{h} + 1 - \frac{a ^{3}}{h}

Solution steps

\frac{( ( a + h ) ) - a ^{3}}{h}

Remove parentheses:

(a) = a

= \frac{a + h - a ^{3}}{h}

Apply the fraction rule:

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

\frac{a + h - a ^{3}}{h} = \frac{a}{h} + \frac{h}{h} - \frac{a ^{3}}{h}

= \frac{a}{h} + \frac{h}{h} - \frac{a ^{3}}{h}

Apply rule

\frac{a}{a} = 1

\frac{h}{h} = 1

= \frac{a}{h} + 1 - \frac{a ^{3}}{h}

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What is expand ([(a+h)]-[(a)]^3)/h ?
The solution to expand ([(a+h)]-[(a)]^3)/h is a/h+1-(a^3)/h