Final answer:
The product of (x-4)(x²+4x+16) is x³+12x²+48x+64.
Step-by-step explanation:
To find the product (x-4)(x²+4x+16), we can use the distributive property of multiplication. We multiply each term in the first parenthesis by each term in the second parenthesis:
(x-4)(x²+4x+16) = x(x²+4x+16) -4(x²+4x+16) = x³+4x²+16x -4x² -16x -64 = x³+12x²+48x+64
So, the correct option is A) x³+12x²+48x+64.