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Popular >

expand ((n-v)^2)/v

Solution

expand

\frac{( n - v ) ^{2}}{v}

Solution

\frac{n ^{2}}{v} - 2 n + v

Solution steps

\frac{( n - v ) ^{2}}{v}

(n - v)^{2} = n^{2} - 2 n v + v^{2}

= \frac{n ^{2} - 2 n v + v ^{2}}{v}

Apply the fraction rule:

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

\frac{n ^{2} - 2 n v + v ^{2}}{v} = \frac{n ^{2}}{v} - \frac{2 n v}{v} + \frac{v ^{2}}{v}

= \frac{n ^{2}}{v} - \frac{2 n v}{v} + \frac{v ^{2}}{v}

Cancel

\frac{2 n v}{v} : 2 n

= \frac{n ^{2}}{v} - 2 n + \frac{v ^{2}}{v}

Cancel

\frac{v ^{2}}{v} : v

= \frac{n ^{2}}{v} - 2 n + v

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Frequently Asked Questions (FAQ)

What is expand ((n-v)^2)/v ?
The solution to expand ((n-v)^2)/v is (n^2)/v-2n+v