If A = 125 and B = 8, then what is the value of
(A + B)3 − (A − B)3 − 6B(A2 − B2) ?
Show answer & explanation
Correct answer: A
Explanation
The correct option is 1.
(A + B)3 − (A − B)3 − 6B(A2 − B2)
= (A + B − A + B)3 + 3 (A + B) (A − B) (A + B − A + B) − 6B (A2 − B2).
= (2B)3 + 6 (A2 − B2)B − 6B (A2 − B2).
= (2 × 8)3 = 4096.
A is correct choice.