What is (((n+1)(n+2))/2)^2 ?

The solution to (((n+1)(n+2))/2)^2 is ((n+1)^2(n+2)^2)/4

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

simplify

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

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

Solution steps

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

Apply exponent rule:

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

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

2^{2} = 4

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

Apply exponent rule:

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

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

5 + 2 x = 21

6 x^{2} - 5 x - 17 = 0

10 x + 25

\frac{9 ^{3}}{9}

(9^{- 3} \cdot 1 6^{\frac{3}{2}})^{\frac{1}{6}}

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