Question

Factorise - [x^2+1/x^2]-4[x+1/x]+6​

Answer 1

Answer:

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

Step-by-step explanation:

letx+1/x be a

(x^2+1/x^2+2)-4(x+1/x)+4

=a^2-4a+4

=a^2-2a-2a+4

=a(a-2)-2(a-2)

=(a-2)(a-2)

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

HOPE THIS HELPS YOU BUDDY

Answer 2

Answer:

Step-by-step explanation:

x^2+1/x^2+2-2x-2/x=0

(x+1/x)^2  - 2(x+1/x)=0

(x+1/x)(x+1/x-2)=0

x+1/x   is not equal to 0

then x+1/x-2=0

  x^2+1-2x=0

   (x-1)^2=0

   x=1