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What is the value of (2x + 3)²?

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Question: What is the value of (2x + 3)²?

Options:

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

Correct Answer: 4x² + 12x + 9

Solution: 

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

What is the value of (2x + 3)²?

Practice Questions

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

Questions & Step-by-Step Solutions

What is the value of (2x + 3)²?
  • Step 1: Identify the expression you need to expand, which is (2x + 3)².
  • Step 2: Recall the formula for expanding a binomial squared: (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 the results: 4x² + 12x + 9.
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