Question
- Hideki buys a skateboard that costs
dollars. After
sales tax is added, the total cost can be ex-
pressed by the expression
. What is this expression written in simplest form?
pressed by the expression
Ask by Weaver Tran. in the United States
Jan 18,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The simplified form is
.
Solution

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The Deep Dive
When Hideki buys the skateboard for
dollars, adding
sales tax can be simplified by factoring out
from the expression
, which gives us
. This is the expression representing the total cost, showcasing how the base price and the tax combine neatly!
Now, let’s break it down further. If you calculate
, you get
, which means the total cost can also be represented as
. So, while both
and
express the total cost, using the first format highlights the original price along with the addition of the tax. Perfect for visual learners!