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Popular >

expand ((2^n+2)n)/2

Solution

expand

\frac{( 2 ^{n} + 2 ) n}{2}

Solution

2^{n - 1} n + n

Solution steps

\frac{( 2 ^{n} + 2 ) n}{2}

Expand

(2^{n} + 2) n : 2^{n} n + 2 n

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

Apply the fraction rule:

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

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

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

Cancel

\frac{2 ^{n} n}{2} : 2^{n - 1} n

= 2^{n - 1} n + \frac{2 n}{2}

Divide the numbers:

\frac{2}{2} = 1

= 2^{n - 1} n + n

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Frequently Asked Questions (FAQ)

What is expand ((2^n+2)n)/2 ?
The solution to expand ((2^n+2)n)/2 is 2^{n-1}n+n