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

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

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

simplify

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

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

Solution steps

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

Apply exponent rule:

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

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

2^{2} = 4

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

Apply exponent rule:

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

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

(3 z + 2 k)^{2}

16 x^{2} + 4

(5)^{\frac{1}{2}}

7 \frac{1}{2} \div 2 \frac{5}{8}

\frac{x}{3} - 1

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