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Popular >

expand (n+1)^3

Solution

expand

(n + 1)^{3}

Solution

n^{3} + 3 n^{2} + 3 n + 1

Solution steps

(n + 1)^{3}

Apply Perfect Cube Formula:

(a + b)^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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