Question

In the following exercises, add or subtract the monomials.

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

Short answer

The required result is

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

Step-by-step solution

Step 1. Given information

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

Step 2. Solving part (a)

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

Step 3. Solving part (b)

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