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Simplify (1+1/a)^2-(1-1/a)^2

User Jgode
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1 Answer

3 votes

Answer:

Explanation:

(1+1/a)^2-(1-1/a)^2

= (1+1/a)^2 - (1-1/a)(1+1/a)

= (1+1/a)^2 - 1 + 1/a^2

= (1+1/a+1/a^2+1/a^3) - 1 +1/a^2

= 1/a^3+2/a^2+2/a+1

So the final answer is 1/a^3+2/a^2+2/a+1

User Tzook Bar Noy
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