Simplify: (9x² − 6x) / 3x

A. 2x + 3
B. 3x − 2
C. x − 3
D. 2x − 3
Correct Answer: B. 3x − 2

Correct answer: 3x − 2. Divide each term by 3x: 9x²/3x = 3x and 6x/3x = 2, so the answer is 3x − 2.

Background: Divide each term in the numerator by the denominator separately.

  • 2x + 3: 2x + 3 does not result from dividing each term.
  • x − 3: x − 3 does not result from dividing each term.
  • 2x − 3: 2x − 3 does not result from dividing each term.

Did you know? You can also factorise: 3x(3x − 2) ÷ 3x.

Memory trick: Cancel 3x.

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