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 = y. which product should tomas choose?

a ( 2 x + y ) ( 2 x 2 + 2 x y − y 2 )

b ( 2 x + y ) ( 4 x 2 + 2 x y − y 2 )

c ( 2 x + y ) ( 4 x 2 − 2 x y + y 2 )

d (2x^2-2xy+y^2\right)