Question

If p/q + q/p = -1 (p,q ≠ 0) the value of p^3 -q^3 will be

Answer 1

Answer:

See this.

Step-by-step explanation:

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Answer 2

Answer:

Step-by-step explanation:

$\frac{p}{q}$ + $\frac{q}{p}$ = -1

The LCM of p and q is pq

$\frac{p^{2} +q^{2} }{pq}$ = -1      [Adding both of them]

$p^{2} + q^{2}$ = -pq ---equation 1

$p^{3} - q^{3}$ = (p-q)($p^{2} + q^{2}$+pq)

Replacing value of equation 1 over here

$p^{3} - q^{3}$ = (p-q)(-pq+pq)

$p^{3} - q^{3}$ = 0

Anything multiplied by 0 is 0

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