Answer
$1$.
Work Step by Step
The given expression is
$64x^2-16x+k$
Use the algebraic identity.
$a^2-2ab+b^2=(a-b)^2$.
Factor the given expression as shown below.
$(8x)^2-2(8x)(1)+k$
Compare the above expression with the algebraic identity.
We have $b=1$ and $b^2=k$.
Plug the value of $b=1$.
$k=1^2$
Simplify.
$k=1$
