Q. 17 - Intermediate Algebra

Question

In the following exercises, add or subtract the monomials. 

$\begin{array}{l}\text{(a) }-5b-17b\\ \text{(b) }3xy-(-8xy)+5xy\end{array}$

Step-by-Step Solution

Answer

The required result is 

$\begin{array}{l}a)-22b\\ b)16xy\end{array}$

Step 1. Given information

$\begin{array}{l}\text{The given expression is}\\ \text{(a) }-5b-17b\\ \text{(b) }3xy-(-8xy)+5xy\\ \text{We have to add or subtract as applicable.}\end{array}$

Step 2. Solving part (a)

$\begin{array}{l}\text{Consider the given expression}\\ \Rightarrow -5b-17b=\left(-5-17\right)b\\ =-22b\end{array}$

Step 3. Solving part (b)

$\begin{array}{l}\text{Consider the given expression}\\ \Rightarrow 3xy-(-8xy)+5xy\\ =3xy+8xy+5xy\\ =\left(3+8+5\right)xy\\ =16xy\end{array}$