Tomas learned that the product of the polynomials (a + b)(a2 – ab + b2) was a special pattern that would result in a sum of cubes, a3 + b3. his teacher put four products on the board and asked the class to identify which product would result in a sum of cubes if a = 2x and b = 1.

which product should tomas choose?

a) (2x + 1)(2x2 + 2x – 1)
b) (2x + 1)(4x3 + 2x – 1)
c) (2x + 1)(4x2 – 2x + 1)
d) (2x + 1)(2x2 – 2x + 1)