Question

B. If p +q= 3 and pq - 4. find the value of p³+q³​

Answer 1

p³ + q³ is -9

Explanation:

`{ \tt{ {(p + q)}^(3) = ( {p}^(2) + {q}^(2) + 2pq)(p + q) }} \\ { \tt{ {(p + q)}^(3) = ( {p}^(3) } + 3p {q}^(2) + 3 {p}^(2) q)} \\ { \tt{ {p}^(3) + {q}^(3) = {(p + q)}^(3) - 3pq(p + q)}} \\ { \tt{ {p}^(3) + {q}^(3) = {(3)}^(3) - 3(4)(3) }} \\ = - 9`