Q. 27 - Intermediate Algebra

Question

In the following exercises, add or subtract the monomials. 

$5u^2+4v^2-6u^2+12a+8b$

Step-by-Step Solution

Answer

The required result is $5u^2+4v^2-6u^2+12a+8b=-u^2+4v^2+12a+8b$

Step 1. Given information

$\begin{array}{l}\text{The given expression is}\\ 5u^2+4v^2-6u^2+12a+8b\\ \text{We have to add or subtract as applicable.}\end{array}$

Step 2. Simplify

$\begin{array}{l}\text{Consider the given expression}\\ \Rightarrow 5u^2+4v^2-6u^2+12a+8b\\ =5u^2-6u^2+4v^2+12a+8b\left[\text{Combine the like terms}\right]\\ =\left(5-6\right)u^2+4v^2+12a+8b\left[\text{Simplify}\right]\\ =-u^2+4v^2+12a+8b\end{array}$