PSAT Math Multiple-Choice Question 444: Answer and Explanation
Question: 444
For all a and b, what is the product of (a - b)2 and (a + b)?
- A. a2 - b2
- B. a3 - b3
- C. a3 - ab2 + a2b - b3
- D. a3 - ab2 - a2b + b3
Correct Answer: D
Explanation:
D
Difficulty: Medium
Getting to the Answer: Expand the first factor to take advantage of the difference of squares, and then use FOIL to multiply the two factors that remain:
This matches (D).
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