Digital PSAT Math Practice Question 314: Answer and Explanation

Question: 314

2(a - 4b)(3 + b³) =?

Correct Answer: D

Explanation:

(D) Use FOIL to calculate the product of the terms in parentheses:

2 (a - 4 b) (3 + b^{3}) = 2 (3 a + a b^{3} - 12 b - 4 b^{4}) = 6 a + 2 a b^{3} - 24 b - 8 b^{4}

Rearrange the values to put them in the order shown in the choices:

2 a b^{3} + 6 a - 8 b^{4} - 24 b