Question
7 Read what Mia says.
When I expand and simplify
, I get the same answer as when I expand
.
Is Mia correct?
Explain your answer.
When I expand and simplify
Explain your answer.
Ask by Clark Lyons. in Egypt
Mar 08,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Mia is correct because both expressions simplify to
.
Solution
Simplify the expression by following steps:
- step0: Multiply the terms:
- step1: Apply the distributive property:
- step2: Multiply the terms:
Expand the expression
Simplify the expression by following steps: - step0: Add the terms:
- step1: Expand the expression:
- step2: Expand the expression:
- step3: Add the terms:
Let’s analyze Mia’s statement step by step.
-
Expanding and simplifying
: - First, we expand each term:
-
- Now, we combine these:
- First, we expand each term:
-
Expanding
: - We expand this term:
-
- We expand this term:
-
Comparison:
- Both expressions simplify to
.
- Both expressions simplify to
Since both expansions yield the same result, Mia is correct. The expanded forms of
and
are indeed equal.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Extra Insights
Let’s help Mia out! When we expand and simplify
, we first distribute:
Now, combining them gives us:
Now let’s expand
:
The results are the same! So, Mia is correct; both expressions yield
. Great job, Mia!