My Learning Cart
?
Categories
Account

What is the value of (x + y + z)²?

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

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

Options:

  1. x² + y² + z²
  2. x² + y² + z² + 2xy + 2yz + 2zx
  3. x² + y² + z² + 3xyz
  4. x² + y² + z² - 2xy - 2yz - 2zx

Correct Answer: x² + y² + z² + 2xy + 2yz + 2zx

Solution: 

(x + y + z)² = x² + y² + z² + 2xy + 2yz + 2zx by the expansion of the square of a trinomial.

What is the value of (x + y + z)²?

Practice Questions

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

Questions & Step-by-Step Solutions

What is the value of (x + y + z)²?
  • Step 1: Start with the expression (x + y + z)².
  • Step 2: Recognize that this is the square of a trinomial, which means we need to expand it.
  • Step 3: Use the formula for the square of a sum: (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca.
  • Step 4: In our case, let a = x, b = y, and c = z.
  • Step 5: Substitute x, y, and z into the formula: (x + y + z)² = x² + y² + z² + 2xy + 2yz + 2zx.
  • Step 6: Write down the final expanded form: (x + y + z)² = x² + y² + z² + 2xy + 2yz + 2zx.
No concepts available.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks