Chapter SH, Problem 14.4.10EP

To determine

To find: The simplified expression of the given numbers.

Answer to Problem 14.4.10EP

The simplified expression of $3m(m+2)+m(m-7)$ is $4m^2-m$

Explanation of Solution

Given:

  $3m(m+2)+m(m-7)$

Calculation:

By using the distributive property,

  $\begin{array}{l}3m(m+2)+m(m-7)=3m\cdot m+3m\cdot 2+m\cdot m-m\cdot 7\text{ (distributive property}\\ =3m^2+6m+m^2-7m\text{ (Multiply)}\\ =(3m^2+m^2)+(6m-7m)\text{ (Group the like terms) }\\ =4m^2-m\text{ (Add the like terms)}\end{array}$Conclusion:

Hence, the simplified expression of $3m(m+2)+m(m-7)$ is $4m^2-m$