Question

factorize it ÷ x⁴+x²+1​

Answer 1

Answer:

[x2 + 1]^2 – x^2 =  [x^2 + 1 + x] [x^2 + 1 – x]

Step-by-step explanation:

Consider x^4 + x^2 + 1

           = (x^4 + 2x^2 + 1) – x^2

           = [(x2)^2 + 2x^2 + 1] – x^2

           = [x^2 + 1]^2 – x^2

It is in the form of (a^2 – b^2) = (a + b)(a – b)

Hence [x2 + 1]^2 – x^2 =  [x^2 + 1 + x] [x^2 + 1 – x]