Question

In the following exercises, add or subtract the monomials.

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

Short answer

The required result is$6m+23y{z}^2$

Step-by-step solution

Step 1. Given information

$\begin{array}{l}\text{Thegivenexpressionis}\\ -3m+9m+15y{z}^2-\left(-8y{z}^2\right)\\ \text{Wehavetoaddorsubtractasapplicable.}\end{array}$

Step 2. Simplify

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