Question

Х4+16х2+64completely

Answer 1

x⁴+16x²+64

x^2•2+2•x²•8+8²

(x²)²+2•x²•8+8²

a²+2ab+b²= (a+b)²

(x²+8)²

Answer 2

X^4 + 16x^2 + 64.
По формуле a^2 + 2ab + b^2 = (a + b)^2:

(x^2 + 8)^2.

Answer 3

To completely factor the expression x^4 + 16x^2 + 64, you can start by recognizing that it is a perfect square trinomial. This means it can be factored into the square of a binomial. In this case, the expression is the square of (x^2 + 8):

x^4 + 16x^2 + 64 = (x^2 + 8)^2

So, the expression x^4 + 16x^2 + 64 is completely factored as (x^2 + 8)^2.