Q. 42 - Intermediate Algebra

Question

In the following exercises, subtract the polynomials. 

$\left(3b^2-4b+1\right)-\left(5b^2-b-2\right)$

Step-by-Step Solution

Answer

The result of subtracting the polynomials is $-2b^2-3b+3$

Step 1. Given information

$\begin{array}{l}\text{The given expression is }\\ \left(3b^2-4b+1\right)-\left(5b^2-b-2\right)\\ \text{We have to subtract the polynomials.}\end{array}$

Step 2. Subtract the polynomials

$\begin{array}{l}\Rightarrow \left(3b^2-4b+1\right)-\left(5b^2-b-2\right)\\ =3b^2-4b+1-5b^2+b+2\left[\text{Rewrite without the parenthese}\right]\\ =3b^2-5b^2-4b+b+1+2\left[\text{Combine the like terms}\right]\\ =-2b^2-3b+3\end{array}$