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Popular >

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

Solution

expand

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

Solution

\frac{a ^{2}}{h} + 2 a + h + \frac{4}{h}

Solution steps

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

Expand

(a + h)^{2} + 4 : a^{2} + 2 ah + h^{2} + 4

= \frac{a ^{2} + 2 ah + h ^{2} + 4}{h}

Apply the fraction rule:

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

\frac{a ^{2} + 2 ah + h ^{2} + 4}{h} = \frac{a ^{2}}{h} + \frac{2 ah}{h} + \frac{h ^{2}}{h} + \frac{4}{h}

= \frac{a ^{2}}{h} + \frac{2 ah}{h} + \frac{h ^{2}}{h} + \frac{4}{h}

Cancel

\frac{2 ah}{h} : 2 a

= \frac{a ^{2}}{h} + 2 a + \frac{h ^{2}}{h} + \frac{4}{h}

Cancel

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

= \frac{a ^{2}}{h} + 2 a + h + \frac{4}{h}

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Frequently Asked Questions (FAQ)

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