Chapter 8.2, Problem 11PPE

To determine

To find: The simplification of the product $3m^2(10+m)$ .

Answer to Problem 11PPE

  $3m^3+30m$

Explanation of Solution

Given information:

The product $3m^2(10+m)$

Calculation:

  $\begin{array}{l}3m^2(10+m)\\ =3m^2(10)+3m^2(m)[\text{using Distributive property]}\\ =3\cdot 10m^2+3m^{2+1}[\text{multiplying coefficients and adding exponents]}\\ =30m^2+3m^3[\text{simplifying]}\\ =3m^3+30m[\text{writing in standard form]}\end{array}$

Thus, $3m^2(10+m)=3m^3+30m$