Advanced MathEasy–MediumExpanding a product with mixed signs
Advanced Math practice question
Which expression is equivalent to (x + 4)(x − 2)?
- A. x² + 2x − 8Correct
- B. x² − 2x − 8
- C. x² + 2x + 8
- 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.
More Advanced Math questions
- Easy–Medium
If f(x) = 2x² − 3, what is f(4)? - Easy–Medium
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For x ≠ 0, which expression is equivalent to (x² + 3x) / x? - Easy–Medium
What are the solutions to the equation 2(x − 3)² − 32 = 0 ?
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