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Popular >

expand (n*(n+1))2

Solution

expand

(n \cdot (n + 1)) 2

Solution

2 n^{2} + 2 n

Solution steps

(n (n + 1)) \cdot 2

Remove parentheses:

(a) = a

= n (n + 1) \cdot 2

= 2 n (n + 1)

Apply the distributive law:

a (b + c) = ab + a c

a = n \cdot 2, b = n, c = 1

= n \cdot 2 n + n \cdot 2 \cdot 1

= 2 nn + 2 \cdot 1 \cdot n

Simplify

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

= 2 n^{2} + 2 n

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\frac{5}{500} \cdot 1

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\frac{6}{2} (1 + 2 = 0)

Frequently Asked Questions (FAQ)

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