Question

factorise x⁴+x²+1 .Pls explain with steps​

Answer 1

Answer:

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]

Answer 2

Answer:

${x}^{4} + {x}^{2} + 1 \\ = {x}^{2} ( {x}^{2} + 1) + 1$