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What is the result of (x + y + z)²?
What is the result of (x + y + z)²?
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Practice Questions
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Q1
What is the result of (x + y + z)²?
x² + y² + z² + 2(xy + xz + yz)
x² + y² + z²
x² + y² + z² + 3xyz
x² + y² + z² - 2(xy + xz + yz)
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(x + y + z)² = x² + y² + z² + 2(xy + xz + yz) is the correct expansion.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the result of (x + y + z)²?
Solution:
(x + y + z)² = x² + y² + z² + 2(xy + xz + yz) is the correct expansion.
Steps: 5
Show Steps
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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