Q. 51 - Intermediate Algebra

Question

In the following exercises, find the difference of the polynomials. 

Find the difference of $\left(w^2+w-42\right)$ and $\left(w^2-10w+24\right)$

Step-by-Step Solution

Answer

$\text{The difference of }\left(w^2+w-42\right)\text{ and }\left(w^2-10w+24\right)\text{ is }11w-66.$

Step 1. Given information

$\begin{array}{l}\text{The given expressions are}\\ \left(w^2+w-42\right)\text{ and }\left(w^2-10w+24\right)\\ \text{We have to find the difference}\\ i.e\text{ To find : }\left(w^2+w-42\right)-\left(w^2-10w+24\right)\end{array}$

Step 2. Calculating the difference

$\begin{array}{l}\Rightarrow \left(w^2+w-42\right)-\left(w^2-10w+24\right)\\ =w^2+w-42-w^2+10w-24\left[\text{Rewrite without parentheses}\right]\\ =w^2-w^2+w+10w-42-24\left[\text{Combine the like terms}\right]\\ =11w-66\left[\text{Simplify}\right]\end{array}$