Answer:
D. (x – 8)^2
Step-by-Step Explanation:
x2 - 16x + 64:
Step 1: Use the sum-product pattern.
[tex]x^{2} -16x+64\\x^{2} -8x-8x+64[/tex]
Step 2: Common factor from the two pairs.
[tex]x^{2} -8x-8x+64\\x(x-8)-8(x-8)[/tex]
Step 3: Rewrite in factored form.
[tex]x(x-8)-8(x-8)\\(x-8)(x-8)[/tex]
Step 4: Combine to a square.
[tex](x-8)(x-8)\\(x-8)^{2}[/tex]
