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What is the value of (a + b)²?

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

Options:

  1. a² + b²
  2. a² + 2ab + b²
  3. 2ab
  4. a² - b²

Correct Answer: a² + 2ab + b²

Solution: 

(a + b)² = a² + 2ab + b² by the expansion of the square of a binomial.

What is the value of (a + b)²?

Practice Questions

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

Questions & Step-by-Step Solutions

What is the value of (a + b)²?
  • Step 1: Understand that (a + b)² means (a + b) multiplied by itself.
  • Step 2: Write it out as (a + b) * (a + b).
  • Step 3: Use the distributive property (also known as the FOIL method) to multiply: First, Outer, Inner, Last.
  • Step 4: Multiply the First terms: a * a = a².
  • Step 5: Multiply the Outer terms: a * b = ab.
  • Step 6: Multiply the Inner terms: b * a = ab.
  • Step 7: Multiply the Last terms: b * b = b².
  • Step 8: Combine all the results: a² + ab + ab + b².
  • Step 9: Simplify by adding the like terms (ab + ab = 2ab).
  • Step 10: Write the final result: a² + 2ab + b².
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