factorize x^4+x^2+1plz
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X^2+x^2+1
2x^2+1
Thid is the answer I think so
2x^2+1
Thid is the answer I think so
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x^4 + x^2 + 1
= (x^4 + 2x^2 + 1) – x^2
= [(x^2)^2 + 2x^2 + 1] – x^2
= (x^2 + 1)^2 – x^2
Using Identity=> (a^2 – b^2) = (a + b)(a – b)
Hence (x^2 + 1)^2 – x^2 = (x^2 + 1 + x) (x^2 + 1 – x)
= (x^4 + 2x^2 + 1) – x^2
= [(x^2)^2 + 2x^2 + 1] – x^2
= (x^2 + 1)^2 – x^2
Using Identity=> (a^2 – b^2) = (a + b)(a – b)
Hence (x^2 + 1)^2 – x^2 = (x^2 + 1 + x) (x^2 + 1 – x)
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