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Popular >

simplify 1/4 n^2(n+1)^2

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

a^{m} b^{m} = (ab)^{m},

assuming

a \geq 0, b \geq 0

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

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

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

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

Multiply fractions:

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

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

Multiply:

1 \cdot n^{2} = n^{2}

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

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Frequently Asked Questions (FAQ)

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