Q. 41 - Intermediate Algebra

Question

In the following exercises, subtract the polynomials. 

$\left(4m^2-6m-3\right)-\left(2m^2+m-7\right)$

Step-by-Step Solution

Answer

The result of subtracting the polynomials is $2m^2-7m+7$

Step 1. Given information

$\begin{array}{l}\text{The given expression is }\\ \left(4m^2-6m-3\right)-\left(2m^2+m-7\right)\\ \text{We have to subtract the polynomials.}\end{array}$

Step 2. Subtract the polynomials

$\begin{array}{l}\Rightarrow \left(4m^2-6m-3\right)-\left(2m^2+m-7\right)\\ =4m^2-6m-2m^2-m+7\left[\text{Rewrite without the parenthese}\right]\\ =4m^2-2m^2-6m-m+7\left[\text{Combine the like terms}\right]\\ =2m^2-7m+7\end{array}$