Question

16. The difference between two numbers is 5 and
their product 14. Find the difference
their cubes​

Answer 1

a-b=5

ab=14

a^2 + b^2 = (a-b)^2 +2(ab)

= 5^2 +2(14)

=25 + 28

= 53

a^3 - b^3 = (a-b)(a^2 + b^2 + ab)

= (5)(53+14)

= 5(67)

= 335