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42 votes
42 votes
(2(n+1)-1)^2-(2n-1)^2 simplified

User Luka Zadel
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1 Answer

16 votes
16 votes

Answer: 8n

Let's simplify step-by-step.

(2(n+1)−1)2−(2n−1)2

Distribute:

=4n2+4n+1+−4n2+4n+−1

Combine Like Terms:

=4n2+4n+1+−4n2+4n+−1

=(4n2+−4n2)+(4n+4n)+(1+−1)

=8n

User Sun Gengze
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