Question

Find the product (x-4)(x²+4x+16).

A) x³ + 12x² + 48x + 64
B) x³ + 8x² + 16x + 64
C) x³ + 4x² + 16x + 64
D) x³ + 16x² + 4x + 64

Answer 1

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.