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Popular >

simplify [((n(n+1)))/2 ]^2

Solution

simplify

[\frac{( n ( n + 1 ) )}{2}]^{2}

Solution

\frac{n ^{2} ( n + 1 ) ^{2}}{4}

Solution steps

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

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

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

2^{2} = 4

= \frac{( n ( n + 1 ) ) ^{2}}{4}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

= \frac{n ^{2} ( n + 1 ) ^{2}}{4}

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Frequently Asked Questions (FAQ)

What is [((n(n+1)))/2 ]^2 ?
The solution to [((n(n+1)))/2 ]^2 is (n^2(n+1)^2)/4