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.

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.
  1. Expanding and simplifying :
    • First, we expand each term:
    • Now, we combine these:
  2. Expanding :
    • We expand this term:
  3. Comparison:
    • 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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Explain
Simplify this solution

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!

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