Find the hcf of 1+4x2+16x4
To find the highest common factor (HCF) of the given expression 1 + 4x^2 + 16x^4, we need to factorize it.
We can see that the expression is a perfect square trinomial:
1 + 4x^2 + 16x^4 = (1 + 4x^2)^2
Now let's distribute the square:
(1 + 4x^2)(1 + 4x^2) = 1 + 4x^2 + 4x^2 + 16x^4 = 1 + 8x^2 + 16x^4
So the HCF of 1 + 4x^2 + 16x^4 is 1 + 4x^2.
To find the highest common factor (HCF) of the expression 1 + 4x^2 + 16x^4, we need to factorize it. However, this expression cannot be factored further because it does not have any common factors other than 1.
Therefore, the HCF of 1 + 4x^2 + 16x^4 is 1.