Q. 12 - Intermediate Algebra

Question

In the following exercises, add or subtract the monomials. 

$$\begin{gathered} \left(a\right)-3m+9m \\ \left(b\right)15y{z}^2-\left(-8y{z}^2\right) \end{gathered}$$

Step-by-Step Solution

Answer

The result on solving is

$\begin{array}{l}a)6m\\ b)23y{z}^2\end{array}$

Step 1. Given information

$\begin{array}{l}\text{The given expressions are}\\ \left(a\right)-3m+9m\\ \left(b\right)15y{z}^2-\left(-8y{z}^2\right)\\ \text{We have to add or subtract the given expressions as applicable.}\end{array}$

Step 2. Solving part (a)

$\begin{array}{l}\text{Consider the given expression}\\ \Rightarrow -3m+9m=\left(-3+9\right)m\\ =6m\end{array}$

Step 3. Solving part (b)

$\begin{array}{l}\text{Consider the given expression}\\ \Rightarrow 15y{z}^2-\left(-8y{z}^2\right)=15y{z}^2+8y{z}^2\\ =\left(15+8\right)y{z}^2\\ =23y{z}^2\end{array}$