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?

Question

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?

jhonyy9 · Answer

so given that from this (a + b)(a^2 – ab + b^2) resulted equal a^3 +b^3
so now the question is what you get than in place of a write 2x and in place of b write y ?
can you show your work with these changes ?