Question

The product of the polynomials (2ab + b) and (a2 – b2) is . If this product is multiplied by (2a + b), the result is a polynomial with terms.

Answer 1

" the product " means multiply

(2ab + b)(a^2 - b^2) = 2a^3b - 2ab^3 + a^2b - b^3

when multiplied : (2a + b)(2a^3b - 2ab^3 + a^2b - b^3) =
 4a^4b - 4a^2b^3 + 2a^3b - 2ab^3 + 2a^3b^2 - 2ab^4 + a^2b^2 - b^4
...result is a polynomial with 8 terms