Question

The difference between two positive numbers is 6 and the difference between their cubes is 396. find their product.

Answer 1

Answer:

a+b=6

a³+b³=396

here

(a-b)³= a³-3a²b+3ab²-b³

(a-b)³= a³-b³-3a²b+3ab²

(a-b)³= (a³-b³)-3ab*(a-b)

6³=396-3*ab*6

216=396-18ab

18ab=396-216

18ab=180

ab=10

their product is 10