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Popular >

expand (n+1)^2

Solution

expand

(n + 1)^{2}

Solution

n^{2} + 2 n + 1

Solution steps

(n + 1)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

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

= n^{2} + 2 n + 1

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Frequently Asked Questions (FAQ)

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