X^4+x^2+1Find HCF of this equation

1.	X^4+x^2+1Find HCF of this equation
Answer» 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).

Answer»

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).

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X^4+x^2+1Find HCF of this equation

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