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Your friend asks you to check their work. You see the expression 3(15−9)2 + 2 ⋅5

simplified in the following way:

Original Problem: 3(15−9)2 + 2 ⋅ 5
Step 1: 3(6)2 + 2 ⋅5
Step 2: 3(36)+ 2 ⋅ 5
Step 3: 108 + 2 ⋅ 5
Step 4: 110 ⋅ 5
Step 5: 550
Part A: Explain, using complete sentences, in which step and what specifically your friend's error was.



Part B: Correctly simplify this expression using a similar format - showing work for each step like was done above. Full credit will only be given if work shows Step 1, Step 2, Step 3, etc. as seen above.

User DSSS
by
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1 Answer

0 votes

Answer:

118

Explanation:

Part A:

My friend's error is in Step 4, where they multiply 110 by 5 instead of adding 110 and 2 5.

Part B:

Step 1: 3(15-9)² + 2 • 5

Step 2: 3(6)2 + 2 • 5

Step 3: 3(36) + 2 • 5

Step 4: 108 + 2(5)

Step 5: 108 + 10

Step 6: 118

Therefore, the correct simplified expression is 118.

User Saurabh P Bhandari
by
8.7k points

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