Question

simplify (x+1/x)^2 +(x-1/x)^2

Answer 1

Answer:

2($x^2 + \frac{1}{x^2}$)

Step-by-step explanation:

Let x = a, 1/x = b

(a + b)^2 + (a - b)^2 = a^2 + b^2 + 2ab + a^2 + b^2 - 2ab

= 2(a^2 + b^2)

= 2($x^2 + \frac{1}{x^2}$)