Advanced MathMediumFactoring out a common binomial
Advanced Math practice question
Which expression is equivalent to 2x(x + 3) + (x + 3)?
- A. (2x + 1)(x + 3)Correct
- B. (2x + 3)(x + 1)
- C. 2x² + 3
- D. (x + 3)²
Answer: A. (2x + 1)(x + 3)
Both terms share the factor (x + 3): (x + 3)(2x + 1).
Why the other answers are wrong
- B. (2x + 3)(x + 1)
- This expands to 2x² + 5x + 3, not 2x² + 7x + 3.
- C. 2x² + 3
- This drops the 6x + x terms.
- D. (x + 3)²
- The other factor is 2x + 1, not x + 3.
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