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Popular >

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

Solution

expand

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

Solution

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

Solution steps

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

Remove parentheses:

(a) = a

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

Expand

n (n + 1) : n^{2} + n

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

Apply the fraction rule:

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

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

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

Remove parentheses:

(a) = a

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

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Frequently Asked Questions (FAQ)

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