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What is the expanded form of (x+1/x)²​

User Dlq
by
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1 Answer

6 votes

Answer:

x² + 2 +
(1)/(x^2)

Explanation:

(x +
(1)/(x)

= (x +
(1)/(x) )(x +
(1)/(x) )

each term in the second factor is multiplied by each term in the firs factor , that is

x(x +
(1)/(x) ) +
(1)/(x) (x +
(1)/(x) ) ← distribute parenthesis

= x² + 1 + 1 +
(1)/(x^2)

= x² + 2 +
(1)/(x^2)

User Aphax
by
8.0k points

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