Question

factorise x^4 + x^2 + 1​

Answer 1

Answer:

[x² + 1 + x] [x² + 1 – x]

Step-by-step explanation:

Consider x⁴ + x² + 1

           = (x⁴ + 2x² + 1) – x²

           = [(x²)² + 2x² + 1] – x²

           = [x² + 1]² – x²

It is in the form of (a² – b²) = (a + b)(a – b)

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