Factorise the following :- x 4 +x 2 +1
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equation = x4 + x2 + 1
= (x4 + 2x2 + 1) – x2
= [(x2)2 + 2x2 + 1] – x2
= (x2 + 1)2 – x2
using (a2 – b2) = (a + b)(a – b)
(x2 + 1)2 – x2 = (x2 + 1 + x) (x2 + 1 – x)
= (x4 + 2x2 + 1) – x2
= [(x2)2 + 2x2 + 1] – x2
= (x2 + 1)2 – x2
using (a2 – b2) = (a + b)(a – b)
(x2 + 1)2 – x2 = (x2 + 1 + x) (x2 + 1 – x)
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