Q. 25 - Intermediate Algebra

Question

In the following exercises, add or subtract the monomials. 

$14x-3y-13x+a^{2}b-4a-5a{b}^2$

Step-by-Step Solution

Answer

The required result is $14x-3y-13x+a^{2}b-4a-5a{b}^2=x-3y+a^{2}b-4a-5a{b}^2$

Step 1. Given information

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

Step 2. Simplify

$\begin{array}{l}\text{Consider the given expression}\\ \Rightarrow 14x-3y-13x+a^{2}b-4a-5a{b}^2\\ =14x-13x-3y+a^{2}b-4a-5a{b}^2\left[\text{Combine the like terms}\right]\\ =\left(14-13\right)x-3y+a^{2}b-4a-5a{b}^2\left[\text{Simplify}\right]\\ =x-3y+a^{2}b-4a-5a{b}^2\end{array}$