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Popular >

expand ((u+10)^2)/u

Solution

expand

\frac{( u + 10 ) ^{2}}{u}

Solution

u + 20 + \frac{100}{u}

Solution steps

\frac{( u + 10 ) ^{2}}{u}

(u + 10)^{2} = u^{2} + 20 u + 100

= \frac{u ^{2} + 20 u + 100}{u}

Apply the fraction rule:

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

\frac{u ^{2} + 20 u + 100}{u} = \frac{u ^{2}}{u} + \frac{20 u}{u} + \frac{100}{u}

= \frac{u ^{2}}{u} + \frac{20 u}{u} + \frac{100}{u}

Cancel

\frac{u ^{2}}{u} : u

= u + \frac{20 u}{u} + \frac{100}{u}

Cancel

\frac{20 u}{u} : 20

= u + 20 + \frac{100}{u}

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Frequently Asked Questions (FAQ)

What is expand ((u+10)^2)/u ?
The solution to expand ((u+10)^2)/u is u+20+(100)/u