Question

If (p/q) + (q/p) =1, then the value of p3 + q3 is equal to

Answer 1

Step-by-step explanation:

Take LCM

p²+q²/pq = 1

p²+q² = pq — (1)

Multiply by p on both sides

p³ + q²p = p²q

p³ = p²q - pq² — (2)

Similarly, from (1) , multiply by q

q³ = pq² - p²q — (3)

Add(2) &(3)

p³ + q³ = p²q - pq² +pq² - p²q

So, p³ + q³ = 0

Please verify