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Popular >

expand (4(x+h)^2)/h

Solution

expand

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

Solution

\frac{4 x ^{2}}{h} + 8 x + 4 h

Solution steps

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

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

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

Expand

4 (x^{2} + 2 x h + h^{2}) : 4 x^{2} + 8 x h + 4 h^{2}

= \frac{4 x ^{2} + 8 x h + 4 h ^{2}}{h}

Apply the fraction rule:

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

\frac{4 x ^{2} + 8 x h + 4 h ^{2}}{h} = \frac{4 x ^{2}}{h} + \frac{8 x h}{h} + \frac{4 h ^{2}}{h}

= \frac{4 x ^{2}}{h} + \frac{8 x h}{h} + \frac{4 h ^{2}}{h}

Cancel

\frac{8 x h}{h} : 8 x

= \frac{4 x ^{2}}{h} + 8 x + \frac{4 h ^{2}}{h}

Cancel

\frac{4 h ^{2}}{h} : 4 h

= \frac{4 x ^{2}}{h} + 8 x + 4 h

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Frequently Asked Questions (FAQ)

What is expand (4(x+h)^2)/h ?
The solution to expand (4(x+h)^2)/h is (4x^2)/h+8x+4h