Question

X^4+x^2+1

Find HCF of this equation

Answer 1

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 2

x^2+4x+4

(x+2)^2

Now

x(x+4)+4

(x+4)(x+4)

So LCM is (x+4)