Which of the following is the expanded form of (x + 2)²?

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Question: Which of the following is the expanded form of (x + 2)²?

Options:

Correct Answer: x² + 4x + 4

Solution:

(x + 2)² = x² + 2*2*x + 2² = x² + 4x + 4.

Which of the following is the expanded form of (x + 2)²?

Which of the following is the expanded form of (x + 2)²?

Step 1: Start with the expression (x + 2)².
Step 2: Recognize that (x + 2)² means (x + 2) multiplied by itself: (x + 2) * (x + 2).
Step 3: Use the distributive property (also known as the FOIL method) to multiply the two binomials.
Step 4: Multiply the first terms: x * x = x².
Step 5: Multiply the outer terms: x * 2 = 2x.
Step 6: Multiply the inner terms: 2 * x = 2x.
Step 7: Multiply the last terms: 2 * 2 = 4.
Step 8: Combine all the results: x² + 2x + 2x + 4.
Step 9: Combine like terms (2x + 2x = 4x): x² + 4x + 4.
Step 10: The final expanded form is x² + 4x + 4.

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