Question

(x^2+1/x^2)-4(x+1/x)+6... factorise

Answer 1

x^2+1/x^2=(x+1/x)^2 -2,
(x^2+1/x^2)-4(x+1/x)+6,
=(x+1/x)^2 -2-4(x+1/x)+6,
=(x+1/x)^2-2×2×(x+1/x)+2^2,
=(x+1/x -2)^2

Answer 2

Answer:

Step-by-step explanation:

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

(x^2+1/x^2)-4(x+1/x)+6,

=(x+1/x)^2 -2-4(x+1/x)+6,

=(x+1/x)^2-2×2×(x+1/x)+2^2,

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