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## Answers

*p+q+r=0*

*⇒ p+q= -r*

*⇒ (p+q)³= (-r)³*

*⇒ p³+q³+3p²q+3pq²= -r³*

*⇒ p³+q³+r³ = -3pq(p+q)*

*⇒ p³+q³+r³=3pqr*

*⇒ (p³+q³+r³)/pqr=3*

*⇒ p²/qr+q²/pr+r²/pq = 3*p+q=-r

cubing on both sides

(p+q)3=(-r)3

p3+q3+3p2q+3pq2=-r3

p3+q3+r3=3pqr

(p3+q3+r3)/pqr=3

p2/qr+q2/pr+r2/pq=3