Question

If p + q+ r = 0, then p^3 + q^3 + r^3 is equal to.explain fast ​

Answer 1

Answer:

p³+q³+r³=3pqr

Step-by-step explanation:

We know that

$p^3+q^3+r^3-3pqr=(p+q+r)(p^2+q^2+r^2-pq-pr-qr)$

It is given that p+q+r=0

Then,

$p^3+q^3+r^3-3pqr=0(p^2+q^2+r^2-pq-pr-qr)\\p^3+q^3+r^3-3pqr=0\\p^3+q^3+r^3=3pqr$

Hope it helps!

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