Question

In the following exercises, add or subtract the monomials.

$-12w+18w+7x^{2}y-\left(-12x^{2}y\right)$

Short answer

On simplifying the given expression, we get$6w+19x^{2}y$

Step-by-step solution

Step 1. Given information 

$\begin{array}{l}\text{Thegivenexpressionis}\\ -12w+18w+7x^{2}y-\left(-12x^{2}y\right)\\ \text{Wehavetoaddorsubtractthegivenexpressionasapplicable.}\end{array}$

Step 2. Simplify

$\begin{array}{l}\text{Considerthegivenexpression}\\ \Rightarrow -12w+18w+7x^{2}y-\left(-12x^{2}y\right)=\left(-12+18\right)w+7x^{2}y+12x^{2}y\\ =6w+\left(7+12\right)x^{2}y\\ =6w+19x^{2}y\end{array}$