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Popular >

expand n(n+1)(2n+1)

Solution

expand

n (n + 1) (2 n + 1)

Solution

2 n^{3} + 3 n^{2} + n

Solution steps

n (n + 1) (2 n + 1)

Expand

n (n + 1) (2 n + 1) : n (2 n^{2} + 3 n + 1)

= n (2 n^{2} + 3 n + 1)

Apply the distributive law:

m (a + b + c) = ma + mb + m c

n (2 n^{2} + 3 n + 1) = n \cdot 2 n^{2} + n \cdot 3 n + n \cdot 1

= n \cdot 2 n^{2} + n \cdot 3 n + n \cdot 1

Simplify

n \cdot 2 n^{2} + n \cdot 3 n + n \cdot 1 : 2 n^{3} + 3 n^{2} + n

= 2 n^{3} + 3 n^{2} + n

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Frequently Asked Questions (FAQ)

What is expand n(n+1)(2n+1) ?
The solution to expand n(n+1)(2n+1) is 2n^3+3n^2+n