Question

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

Answer 1

Solution:

(x²+1/x²)-4(x+1/x)+6

=(x²+1/x²+2)-4(x+1/x)+4

=(x+1/x)²-4(x+1/x)+4

= (x+1/x)²-2(x+1/x)*2+2²

= (x+1/x-2)²

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

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