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