Q. 43 - Intermediate Algebra

Question

In the following exercises, subtract the polynomials. 

$\left(a^2+8a+5\right)-\left(a^2-3a+2\right)$

Step-by-Step Solution

Answer

The result of subtracting the polynomials is $11a+3$

Step 1. Given information

$\begin{array}{l}\text{The given expression is }\\ \left(a^2+8a+5\right)-\left(a^2-3a+2\right)\\ \text{We have to subtract the polynomials.}\end{array}$

Step 2. Subtract the polynomials

$\begin{array}{l}\Rightarrow \left(a^2+8a+5\right)-\left(a^2-3a+2\right)\\ =a^2+8a+5-a^2+3a-2\left[\text{Rewrite without the parenthese}\right]\\ =a^2-a^2+8a+3a+5-2\left[\text{Combine the like terms}\right]\\ =0+11a+3\\ =11a+3\end{array}$