Question

Required
11. If a - b = 4 and ab = 45, then
the value of a3 - b3 is
O 604
O 540
O 580
O 624
Required

Answer 1

Since, (a-b)³ = a³ - b³ -3ab(a-b)

=> (4)³ = a³ - b³ -3(45)(4)

=> 64 = a³ - b³ -540

=> 64 + 540 = a³ - b³

=> a³ - b³ = 604

So, answer is 604