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If a = 2 and b = 5, what is the value of (a + b)²?

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Question: If a = 2 and b = 5, what is the value of (a + b)²?

Options:

  1. 49
  2. 25
  3. 36
  4. 64

Correct Answer: 49

Solution: 

(a + b)² = (2 + 5)² = 7² = 49.

If a = 2 and b = 5, what is the value of (a + b)²?

Practice Questions

Q1
If a = 2 and b = 5, what is the value of (a + b)²?
  1. 49
  2. 25
  3. 36
  4. 64

Questions & Step-by-Step Solutions

If a = 2 and b = 5, what is the value of (a + b)²?
  • Step 1: Identify the values of a and b. Here, a = 2 and b = 5.
  • Step 2: Add the values of a and b together. So, calculate (a + b) = (2 + 5).
  • Step 3: Perform the addition. 2 + 5 equals 7.
  • Step 4: Now, we need to square the result from Step 3. So, calculate (7)².
  • Step 5: Perform the squaring. 7 squared (7²) equals 49.
  • Order of Operations – Understanding the correct sequence to perform arithmetic operations, particularly the importance of parentheses and exponents.
  • Exponents – Knowledge of how to calculate the power of a number, specifically squaring a sum.
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