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Popular >

expand (n+1)(n/2)(n)

Solution

expand

(n + 1) (\frac{n}{2}) (n)

Solution

\frac{n ^{3} + n ^{2}}{2}

Solution steps

(n + 1) (\frac{n}{2}) (n)

Simplify

(n + 1) (\frac{n}{2}) (n) : (n + 1) \frac{n}{2} n

= (n + 1) \frac{n}{2} n

= n \frac{n}{2} (n + 1)

Apply the distributive law:

a (b + c) = ab + a c

n \frac{n}{2} (n + 1) = n \frac{n}{2} n + n \frac{n}{2} \cdot 1

= n \frac{n}{2} n + n \frac{n}{2} \cdot 1

Simplify

n \frac{n}{2} n + n \frac{n}{2} \cdot 1 : \frac{n ^{3} + n ^{2}}{2}

= \frac{n ^{3} + n ^{2}}{2}

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Frequently Asked Questions (FAQ)

What is expand (n+1)(n/2)(n) ?
The solution to expand (n+1)(n/2)(n) is (n^3+n^2)/2