Question

The product of the polynomials (2ab + b) and (a^2 - b^2) is 2(a^3b)-2a(b^3) + (a^2)b - b^3.If this product is multiplied by (2a + b), the result is a polynomial with_____ terms.

Answer 1

Ok, so

We know that the product of the polynomials (2ab + b) and (a^2 - b^2) is 2(a^3b)-2a(b^3) + (a^2)b - b^3.

Now, we have to multiply the last result per (2a+b)

If me multiply term by term, we get a new polynomial that will has 8 terms.

That's because we have four different terms and we're multiplying each term by 2 different ones. So, there's 8.