X^4+x^2+1
Find HCF of this equation
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X^4+x^2+1
Find HCF of this equation
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Explanation:
Factorizing x2 + 4x + 4 by using the identities (a + b)2, we get
(x)2 + 2(x)(2) + (2)2
= (x + 2)2
= (x + 2) (x + 2)
Also, factorizing x2 – 4, we get
(x)2 – (2)2, by using the identities of a2 - b2.
= (x + 2) (x - 2)
Therefore, H.C.F. of x2 + 4x + 4 and x2 – 4 is (x + 2).