Q. 10 - Intermediate Algebra

Question

In the following exercises, add or subtract the monomials 

$$\begin{gathered} \left(a\right)4y^3+6y^3 \\ \left(b\right)-y-5y \end{gathered}$$

Step-by-Step Solution

Answer

The result is 

$\begin{array}{l}a)10y^3\\ b)-6y\end{array}$

Step 1. Given information

$\begin{array}{l}\text{The given expressions are}\\ \left(a\right)4y^3+6y^3\\ \left(b\right)-y-5y\\ \text{We have to add or subtract the given expressions as applicable.}\end{array}$

Step 2. Solve for part (b)

$\begin{array}{l}\text{Consider the given expression}\\ \Rightarrow 4y^3+6y^3=\left(4+6\right)y^3\\ =10y^3\end{array}$

Step 3. Solve for part (b)

$\begin{array}{l}\text{Consider the given expression}\\ \Rightarrow -y-5y=\left(-1-5\right)y\\ =-6y\end{array}$