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)

let's solve your equation step-by-step.

24−3x=−27

step 1: simplify both sides of the equation.

24−3x=−27

24+−3x=−27

−3x+24=−27

step 2: subtract 24 from both sides.

−3x+24−24=−27−24

−3x=−51

step 3: divide both sides by -3.

−3x

−3

=

−51

−3

x=17

answer:

x=17

step-by-step explanation:

mark brainliest and have a great day!