Question

(x+1/x)^2+(x-1/x)^2 Solve using identity​

Answer 1

Hey there!

Answer:

$2 \left(x^2 + \dfrac{1}{x^2}\right)$

Step-by-step explanation:

$\left(x + \dfrac{1}{x}\right)^2 + \left( x - \dfrac{1}{x}\right)^2\\\\=x^2 + \dfrac{1}{x^2} + 2 +x^2 + \dfrac{1}{x^2} - 2\\\\= 2x^2 + 2 \times \dfrac{1}{x^2}\\\\=2 \left(x^2 + \dfrac{1}{x^2}\right)$