Question

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

Answer 1

x² + 2 +
`(1)/(x^2)`

Explanation:

(x +
`(1)/(x)` )²

= (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)`