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.

Question

Mathematics

Jace Henson

15 December, 10:24

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.

+1

Answers (1)

Know the Answer?

Konner Bautista · 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