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

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

Options:

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

Correct Answer: x^2 + 4x + 4

Solution:

Step 1: Use the formula (a + b)^2 = a^2 + 2ab + b^2. Step 2: Here, a = x and b = 2. Step 3: The expansion is x^2 + 2(2)x + 2^2 = x^2 + 4x + 4.

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

Practice Questions

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

Questions & Step-by-Step Solutions

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