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What is the expansion of (2x - 3)²? (2022)

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Question: What is the expansion of (2x - 3)²? (2022)

Options:

  1. 4x² - 9
  2. 4x² - 12x + 9
  3. 4x² + 12x + 9
  4. 4x² - 6x

Correct Answer: 4x² - 12x + 9

Exam Year: 2022

Solution: 

(2x - 3)² = 4x² - 12x + 9 by the square of a binomial.

What is the expansion of (2x - 3)²? (2022)

Practice Questions

Q1
What is the expansion of (2x - 3)²? (2022)
  1. 4x² - 9
  2. 4x² - 12x + 9
  3. 4x² + 12x + 9
  4. 4x² - 6x

Questions & Step-by-Step Solutions

What is the expansion of (2x - 3)²? (2022)
  • Step 1: Identify the expression you need to expand, which is (2x - 3)².
  • Step 2: Recall the formula for the square of a binomial: (a - b)² = a² - 2ab + b².
  • Step 3: In our case, a = 2x and b = 3.
  • Step 4: Calculate a²: (2x)² = 4x².
  • Step 5: Calculate 2ab: 2 * (2x) * 3 = 12x.
  • Step 6: Calculate b²: 3² = 9.
  • Step 7: Combine all parts together: 4x² - 12x + 9.
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