Question
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Answer
The simplified expression is
.
Solution
We start with the expression:
First, distribute the subtraction across the second group:
Next, combine like terms:
- For the
terms:
- For the
terms:
- For the constant terms:
Thus, the simplified expression is:
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Extra Insights
To simplify the expression
, we first distribute the negative sign across the second set of parentheses. This gives us:
Now, we combine like terms:
- For
: - For
: - For the constant terms:
Putting it all together, we arrive at the simplified expression:
So, the correct answer is
.
Now for additional relevant knowledge:
Simplifying expressions is like tidying up your room! You want to gather all the like items together— your shoes, your books, your toys—just like you gather the coefficients of
,
, and the numbers in algebra. A clean room makes it easier to find what you need, just like a simplified expression makes calculations easier.
When tackling polynomial expressions, a common mistake is forgetting to distribute the subtraction properly. Always double-check that you’ve accounted for every term, as missing a negative sign can lead you to the wrong answer. It’s like trying to make a sandwich without remembering to include the bread!