Question

find the value of A cube - B cube if :a-b =4 and ab=45​

Answer 1

Answer:

a-b = 4

So, (a-b)² = 16

a²+b²-2ab = 16

a²+b² = 16+90

a²+b² = 106

We have to find a³-b³

= (a-b) (a²+b²+ab)

= (4) ( 106 + 45)

= 4×149

= 596

Hence, The value of a³-b³ is 596.