Q. 49 - Intermediate Algebra

Question

In the following exercises, subtract the polynomials. 

$\text{ Subtract }\left(7w^2-4w+2\right)\text{ from }\left(8w^2-w+6\right)$

Step-by-Step Solution

Answer

On subtracting $\left(7w^2-4w+2\right)\text{ from }\left(8w^2-w+6\right)$ we get $w^2+3w+4$

Step 1. Given information

$\begin{array}{l}\text{The given expressions are}\\ \left(7w^2-4w+2\right)\text{ and }\left(8w^2-w+6\right)\\ \text{We have to subtract }\left(7w^2-4w+2\right)\text{ from }\left(8w^2-w+6\right)\\ i.e\text{ To find : }\left(8w^2-w+6\right)-\left(7w^2-4w+2\right)\end{array}$

Step 2. Subtract the polynomials

$\begin{array}{l}\Rightarrow \left(8w^2-w+6\right)-\left(7w^2-4w+2\right)\\ =8w^2-w+6-7w^2+4w-2\left[\text{Rewrite without parentheses}\right]\\ =8w^2-7w^2-w+4w+6-2\left[\text{Combine the like terms}\right]\\ =w^2+3w+4\left[\text{Simplify}\right]\end{array}$