16Hit1600
Advanced MathEasy–MediumExpanding a product with mixed signs

Advanced Math practice question

Which expression is equivalent to (x + 4)(x − 2)?

  1. A. x² + 2x − 8Correct
  2. B. x² − 2x − 8
  3. C. x² + 2x + 8
  4. D. x² − 8

Answer: A. x² + 2x − 8

(x + 4)(x − 2) = x² − 2x + 4x − 8 = x² + 2x − 8.

Why the other answers are wrong

B. x² − 2x − 8
−2x + 4x is +2x, not −2x.
C. x² + 2x + 8
4 × (−2) is −8, not +8.
D. x² − 8
The middle terms −2x and 4x don't cancel; they combine to 2x.

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