Q. 15 - Intermediate Algebra

Question

In the following exercises, add or subtract the monomials. 

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

Step-by-Step Solution

Answer

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

Step 1. Given information

$\begin{array}{l}\text{The given expression is}\\ -12w+18w+7x^{2}y-\left(-12x^{2}y\right)\\ \text{We have to add or subtract the given expression as applicable.}\end{array}$

Step 2. Simplify

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