Answer:
The answer is ( x-8y )(x-8y) [ c ]
Explanation:
x^2 - 16xy + 64y^2 equation 1
rewrite 64y^2 as (8y)^2
then equation 1 becomes
x^2 - 16xy + (8y)^2 equation 2
using the perfect square trinomial rule
a^2 - 2ab + b^2 equation 3
comparing the middle term of equation 3 to equation 2
2ab = -16xy which can be simplified as 2*x*(-8y)
NOTE { a = x and b = -8y} from equation 2
equation 3 is simplified as (a - b)^2
answer then becomes (x-8y)^2 or can be written as (x-8y)(x-8y)