Find the product of the monomial and the polynomial.

Question

Find the product of the monomial and the polynomial. 4x³y³•(3x³-7xy²+2xy-y)

Answer 1

To find the product, we are going to distribute the monomial into the polynomial. Doing this:

(4x³y³)(3x²)-(4x³y³)(7xy²)+(4x³y³)(2xy)-(4x³y³)(y)

Next, we will combine like factors in each of the four terms. For the first, 4*3=12, x³*x²=x⁵, y³ remains as is. 4x³y³ that process:

12x⁵y³-28x⁴y⁵+8x⁴y⁴-4x³y⁴