If a - b = 10 and ab = 4, then the value of a3 - b3 + 4(a + b)2 is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 1584.
(a + b)2 = (a - b)2 + 4ab = 102 + 4 × 4 = 116
a3 - b3 + 4(a + b)2
= (a - b)[(a - b)2 + 3ab] + 4(a + b)2
= 10 × (100 + 12) + 4 × 116
= 1120 + 464
= 1584