Question

If a+b=10 and ab=24 then what is the value of a cube minus b cube?

Answer 1

a=10-b

(10-b)b=24

10b-b^2=24

b^2-10b+24=0

24=6*4. 6+4

b=6 and b=4

put value in above equation

we get,

a+6=10

a=4.

and a=6

then

a^3-b^3=6^3-4^3

=216-64

=152

hope it help you.