If a+b = 12 and ab= 27, find the value of a^{3}+b^{3}.

We know the identity:

Given a+b=12 and ab=27, substituting values in the identity above, we get:

=

= 1728 - 972

= 756

If a+b = 12 and ab= 27, find the value of a^{3}+b^{3}.

We know the identity:

Given a+b=12 and ab=27, substituting values in the identity above, we get:

=

= 1728 - 972

= 756