PSAT Math Multiple-Choice Question 827: Answer and Explanation
Question: 827
2(a - 4b)(3 + b3) = ?
- A. 2ab3 - 24b
- B. 2ab + 6a - 4b2 - 12b
- C. 2ab3 + 4a - 6b4 - 24b
- D. 2ab3 + 6a - 8b4 - 24b
Correct Answer: D
Explanation:
(D) Use FOIL to calculate the product of the terms in parentheses:
2(a - 4b)(3+b3) = 2(3a + ab3 -12b - 4b4) = 6a +2ab3 -24b -8b4
Rearrange the values to put them in the order shown in the choices:
2ab3 + 6a - 8b4 - 24b
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