Advanced MathMediumFactoring by grouping
Advanced Math practice question
Which expression is equivalent to 2x(x − 3) + 5(x − 3)?
- A. (2x + 5)(x − 3)Correct
- B. (2x − 3)(x + 5)
- C. 7x(x − 3)
- D. (2x + 5)(x + 3)
Answer: A. (2x + 5)(x − 3)
Both terms share (x − 3): (x − 3)(2x + 5).
Why the other answers are wrong
- B. (2x − 3)(x + 5)
- (2x − 3)(x + 5) = 2x² + 7x − 15; the original is 2x² − x − 15.
- C. 7x(x − 3)
- 7x(x − 3) adds 2x and 5 as if both were multiplied by x.
- D. (2x + 5)(x + 3)
- (x + 3) has the wrong sign.
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