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If a = 5 and b = 4, what is the value of (a + b)²?

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Question: If a = 5 and b = 4, what is the value of (a + b)²?

Options:

  1. 81
  2. 90
  3. 100
  4. 64

Correct Answer: 100

Solution: 

(a + b)² = (5 + 4)² = 9² = 81.

If a = 5 and b = 4, what is the value of (a + b)²?

Practice Questions

Q1
If a = 5 and b = 4, what is the value of (a + b)²?
  1. 81
  2. 90
  3. 100
  4. 64

Questions & Step-by-Step Solutions

If a = 5 and b = 4, what is the value of (a + b)²?
  • Step 1: Identify the values of a and b. Here, a = 5 and b = 4.
  • Step 2: Add the values of a and b together. So, 5 + 4 = 9.
  • Step 3: Now, we need to square the result from Step 2. This means we multiply 9 by itself: 9 * 9.
  • Step 4: Calculate 9 * 9, which equals 81.
  • Step 5: Therefore, the value of (a + b)² is 81.
  • Order of Operations – Understanding the correct sequence to perform arithmetic operations, particularly when dealing with exponents.
  • Algebraic Expressions – Evaluating expressions involving addition and exponentiation.
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