Q. 16 - Intermediate Algebra

Question

In the following exercises, add or subtract the monomials. 

$-3m+9m+15y{z}^2-\left(-8y{z}^2\right)$

Step-by-Step Solution

Answer

The required result is $6m+23y{z}^2$

Step 1. Given information

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

Step 2. Simplify

$\begin{array}{l}\text{Consider the given expression}\\ \Rightarrow -3m+9m+15y{z}^2-\left(-8y{z}^2\right)=\left(-3+9\right)m+15y{z}^2+8y{z}^2\\ =6m+\left(15+8\right)y{z}^2\\ =6m+23y{z}^2\end{array}$