Question

if p+q=12 and pq=27 find the value of (p) ^3+(q) ^3​

Answer 1

pq = 27

$p {}^{3} + q {}^{3} = {(p + q)}^{3} - 3pq(p + q) \\ = 1728 - 972 = 756$

Answer 2

Answer:

p^3+q^3 = (p+q)*(p^2+q^2-pq)

= (12)*((p+q)^2-2pq-pq)

= 12*((12^2)-3pq)

=12*(144-(3*27))

=12*63

=756

Regards

V.Sriram