Q. 44 - Intermediate Algebra

Question

In the following exercises, subtract the polynomials. 

$\left(b^2-7b+5\right)-\left(b^2-2b+9\right)$

Step-by-Step Solution

Answer

The result of subtracting the polynomials is $-5b-4$

Step 1. Given information

$\begin{array}{l}\text{The given expression is }\\ \left(b^2-7b+5\right)-\left(b^2-2b+9\right)\\ \text{We have to subtract the polynomials.}\end{array}$

Step 2. Subtract the polynomials

$\begin{array}{l}\Rightarrow \left(b^2-7b+5\right)-\left(b^2-2b+9\right)\\ =b^2-7b+5-b^2+2b-9\left[\text{Rewrite without the parenthese}\right]\\ =b^2-b^2-7b+2b+5-9\left[\text{Combine the like terms}\right]\\ =0-5b-4\\ =-5b-4\end{array}$