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Popular >

expand ((2+h)^3)/h

Solution

expand

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

Solution

\frac{8}{h} + 12 + 6 h + h^{2}

Solution steps

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

(2 + h)^{3} = 8 + 12 h + 6 h^{2} + h^{3}

= \frac{8 + 12 h + 6 h ^{2} + h ^{3}}{h}

Apply the fraction rule:

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

\frac{8 + 12 h + 6 h ^{2} + h ^{3}}{h} = \frac{8}{h} + \frac{12 h}{h} + \frac{6 h ^{2}}{h} + \frac{h ^{3}}{h}

= \frac{8}{h} + \frac{12 h}{h} + \frac{6 h ^{2}}{h} + \frac{h ^{3}}{h}

Cancel

\frac{12 h}{h} : 12

= \frac{8}{h} + 12 + \frac{6 h ^{2}}{h} + \frac{h ^{3}}{h}

Cancel

\frac{6 h ^{2}}{h} : 6 h

= \frac{8}{h} + 12 + 6 h + \frac{h ^{3}}{h}

Cancel

\frac{h ^{3}}{h} : h^{2}

= \frac{8}{h} + 12 + 6 h + h^{2}

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Frequently Asked Questions (FAQ)

What is expand ((2+h)^3)/h ?
The solution to expand ((2+h)^3)/h is 8/h+12+6h+h^2