Chapter 1.7, Problem 3STP

For Exercises $1-6,$ choose the correct letter.

What is the simplified form of the expression $14\text{mn}+6{\text{mn}}^2-8\text{mn}-7{\text{m}}^2\text{n}+5{\text{m}}^2\text{n}?$

A. $10{\text{m}}^2{\text{n}}^2$

B. $6mn-4m^{2}n$

C. $6mn+5m^{2}n-1m{n}^2$

D. $6mn-2m^{2}n+6m{n}^2$

To determine

To choose the correct option: the simplified form of the expression $14mn+6m{n}^2-8mn-7m^{2}n+5m^{2}n$ is:

A. $10m^2{n}^2$

B. $6mn-4m^{2}n$

C. $6mn-5m^{2}n-1m{n}^2$

D. $6mn-2m^{2}n+6m{n}^2$

Answer to Problem 3STP

D

Explanation of Solution

Given The expression: $14mn+6m{n}^2-8mn-7m^{2}n+5m^{2}n$

Consider the given expression and write the like terms together and simplify,

  $\begin{array}{c}14mn+6m{n}^2-8mn-7m^{2}n+5m^{2}n=14mn-8mn-7m^{2}n+5m^{2}n+6m{n}^2\\ =6mn-2m^{2}n+6m{n}^2\end{array}$

So, correct option is D.