What is the correct factored form of x^2-16xy+64y^2? a. xy(x-16+64y)b. xy(x+16+64y) c.(x-8y)(x-8y)d.(x+8y)(x+8y)

The answer is ( x-8y )(x-8y)    [ c ]

Step-by-step 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)

b. the decimal could be two-tenths.

step-by-step explanation: