Question

p cube + q cube = 8 ; p + q = 2 then p square + pq + q square is​

Answer 1

Answer:

Step-by-step explanation:

Given that,

p³ + q³ = 8 and p + q = 2

∴ p² + pq + q²

We know the identity that, a³ + b³ = (a + b ) ( a² + ab + b² )

∴ p³ + q³ = ( p + q ) ( p² + pq + q² )

⇒ 8 = ( 2 ) × ( p² + pq + q² )

⇒ 8 / 2 = (p² + pq + q² )

⇒ 4 = (p² + pq + q² )

There, ( p² + pq + q² ) = 4 is the answer.