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What is the result of (x + y + z)²?

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Question: What is the result of (x + y + z)²?

Options:

  1. x² + y² + z² + 2(xy + xz + yz)
  2. x² + y² + z²
  3. x² + y² + z² + 3xyz
  4. x² + y² + z² - 2(xy + xz + yz)

Correct Answer: x² + y² + z² + 2(xy + xz + yz)

Solution: 

(x + y + z)² = x² + y² + z² + 2(xy + xz + yz) is the correct expansion.

What is the result of (x + y + z)²?

Practice Questions

Q1
What is the result of (x + y + z)²?
  1. x² + y² + z² + 2(xy + xz + yz)
  2. x² + y² + z²
  3. x² + y² + z² + 3xyz
  4. x² + y² + z² - 2(xy + xz + yz)

Questions & Step-by-Step Solutions

What is the result of (x + y + z)²?
  • Step 1: Start with the expression (x + y + z)².
  • Step 2: Recognize that (a + b + c)² can be expanded using the formula (a + b + c)² = a² + b² + c² + 2(ab + ac + bc).
  • Step 3: In our case, let a = x, b = y, and c = z.
  • Step 4: Apply the formula: (x + y + z)² = x² + y² + z² + 2(xy + xz + yz).
  • Step 5: The final result is x² + y² + z² + 2(xy + xz + yz).
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