Question

If a-b=4 and ab=45 find the value of a^3-b^3

Answer 1

a³ - b³ = (a - b)³ +3ab (a - b)
here,
(a - b ) = 4
ab = 45

so,
a³ - b³ = (4)³ + 3×45 × 4

= 64 + 540

= 604
hence,
a³ - b³ = 604

Answer 2

a³ - b³ = (a - b)³ +3ab (a - b)

Given :-

(a - b ) = 4

ab = 45


a³ - b³ = (4)³ + 3 ×45 × 4

= 64 + 540

= 604

a³ - b³ = 604