Q. 20 - Intermediate Algebra

Question

In the following exercises, add or subtract the monomials. 

$\begin{array}{l}\left(a\right)14x-3y-13x\\ \left(b\right)a^{2}b-4a-5a{b}^2\end{array}$

Step-by-Step Solution

Answer

The required result is 

$\begin{array}{l}a)x-3y\\ b)a^{2}b-4a-5a{b}^2\end{array}$

Step 1. Given information

$\begin{array}{l}\text{The given expression is}\\ \left(a\right)14x-3y-13x\\ \left(b\right)a^{2}b-4a-5a{b}^2\\ \text{We have to add or subtract as applicable.}\end{array}$

Step 2. Solving part (a)

$\begin{array}{l}\text{Consider the given expression}\\ \Rightarrow 14x-3y-13x=14x-13x-3y\left[\text{Combine like terms}\right]\\ =\left(14-13\right)x-3y\\ =x-3y\end{array}$

Step 3. Solving part (b)

$\begin{array}{l}\text{Consider the given expression}\\ \Rightarrow a^{2}b-4a-5a{b}^2\\ \left[\text{There are no like terms}\right]\\ \text{Thus,}\\ \text{After adding or subtracting the expression will remain the same}\end{array}$