Question

Factorise:
(x+1/x)^2-4(x+1/x)-12

Answer 1

(x+1/x+6) (x+1/x-2)

Step-by-step explanation:

Taking (x+1/x) as a

a²+4a-12

a²+6a-2a-12

a(a+6) -2(a+6)

(a+6) (a-2)

(x+1/x+6) (x+1/x-2)