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What is the value of (a + b)² - (a² + b²)?

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Question: What is the value of (a + b)² - (a² + b²)?

Options:

  1. 2ab
  2. a² + b²
  3. 0
  4. a + b

Correct Answer: 2ab

Solution: 

(a + b)² - (a² + b²) = 2ab.

What is the value of (a + b)² - (a² + b²)?

Practice Questions

Q1
What is the value of (a + b)² - (a² + b²)?
  1. 2ab
  2. a² + b²
  3. 0
  4. a + b

Questions & Step-by-Step Solutions

What is the value of (a + b)² - (a² + b²)?
  • Step 1: Start with the expression (a + b)² - (a² + b²).
  • Step 2: Expand (a + b)² using the formula (x + y)² = x² + 2xy + y². Here, x = a and y = b.
  • Step 3: So, (a + b)² = a² + 2ab + b².
  • Step 4: Now, substitute this back into the expression: (a² + 2ab + b²) - (a² + b²).
  • Step 5: Simplify the expression by canceling out a² and b²: (a² + 2ab + b²) - a² - b² = 2ab.
  • Step 6: Therefore, the final result is 2ab.
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