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Popular >

simplify (n+1)^3-n^3

Solution

simplify

(n + 1)^{3} - n^{3}

Solution

3 n^{2} + 3 n + 1

Solution steps

(n + 1)^{3} - n^{3}

Expand

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

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

Group like terms

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

Add similar elements:

n^{3} - n^{3} = 0

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

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Frequently Asked Questions (FAQ)

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