Q. 18 - Intermediate Algebra

Question

In the following exercises, add or subtract the monomials. 

$\begin{array}{l}\left(a\right)-10x-35x\\ \left(b\right)17m{n}^2-\left(-9m{n}^2\right)+3m{n}^2\end{array}$

Step-by-Step Solution

Answer

The required result is

$\begin{array}{l}a)-45x\\ b)29m{n}^2\end{array}$

Step 1. Given information

$\begin{array}{l}\text{The given expression is}\\ \left(a\right)-10x-35x\\ \left(b\right)17m{n}^2-\left(-9m{n}^2\right)+3m{n}^2\\ \text{We have to add or subtract as applicable.}\end{array}$

Step 2. Solving part (a)

$\begin{array}{l}\text{Consider the given expression}\\ \Rightarrow -10x-35x=\left(-10-35\right)x\\ =-45x\end{array}$

Step 3. Solving part (b)

$\begin{array}{l}\text{Consider the given expression}\\ \Rightarrow 17m{n}^2-\left(-9m{n}^2\right)+3m{n}^2=17m{n}^2+9m{n}^2+3m{n}^2\\ =\left(17+9+3\right)m{n}^2\\ =29m{n}^2\end{array}$