Question

If a-b is eaual to 4 and a*b is equal to 45 then a^3-b^3

Answer 1

a-b=4
(a-b)²=16
a²+b²-2ab=16
a²+b²-2×45=16
a²+b²=16+90
a²+b²=106

a³-b³
=(a-b) (a²-ab+b²)
=4×(106-90)
=4×16
=64