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Which expression represents the expansion of (x + 2)^2?

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Question: Which expression represents the expansion of (x + 2)^2?

Options:

  1. x^2 + 4
  2. x^2 + 4x + 4
  3. x^2 + 2x + 2
  4. x^2 + 2x + 4

Correct Answer: x^2 + 4x + 4

Solution: 

Use the formula (a + b)^2 = a^2 + 2ab + b^2: (x + 2)^2 = x^2 + 4x + 4.

Which expression represents the expansion of (x + 2)^2?

Practice Questions

Q1
Which expression represents the expansion of (x + 2)^2?
  1. x^2 + 4
  2. x^2 + 4x + 4
  3. x^2 + 2x + 2
  4. x^2 + 2x + 4

Questions & Step-by-Step Solutions

Which expression represents the expansion of (x + 2)^2?
  • Step 1: Identify the expression you want to expand, which is (x + 2)^2.
  • Step 2: Recognize that this is in the form of (a + b)^2, where a = x and b = 2.
  • Step 3: Use the formula (a + b)^2 = a^2 + 2ab + b^2.
  • Step 4: Substitute a and b into the formula: a^2 becomes x^2, 2ab becomes 2 * x * 2, and b^2 becomes 2^2.
  • Step 5: Calculate each part: x^2 stays as x^2, 2 * x * 2 equals 4x, and 2^2 equals 4.
  • Step 6: Combine all parts together: x^2 + 4x + 4.
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