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Simplify: 3x² + xy + √x + 7x²

A. 10x + √(25x) + xy
B. 10x + √(25x) + xy
C. 10x² + xy + √x
D. 10x² − xy + √x
Correct Answer: C. 10x² + xy + √x

Correct answer: 10x² + xy + √x. Combine the like terms 3x² + 7x² = 10x². The terms xy and √x stay as they are.

Background: Only like terms (same variables and powers) can be combined.

  • 10x + √(25x) + xy: The x² terms add to 10x², not 10x.
  • 10x + √(25x) + xy: The x² terms add to 10x², not 10x.
  • 10x² − xy + √x: The sign of xy should stay positive.

Did you know? xy and √x are not like terms of x².

Memory trick: 3x² + 7x² = 10x².

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