Question

if p+q+r=0 then p3+q3+r3 is equal to​

Answer 1

HOPE IT WILL HELP YOU:-

Answer 2

The correct answer is 3pqr.

Given: The equation p + q + r=0.

To Find: The value of $p^{3} +q^{3} +r^{3}$.

Solution:

p + q + r=0

p + q = -r  (equation 1)

Cube both the sides.

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

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

From equation 1 p + q = -r.

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

$p^{3} +q^{3} -3pqr=-r^{3}$

$p^{3} +q^{3} +r^{3}=3pqr$

Hence, the value of $p^{3} +q^{3} +r^{3}$ is 3pqr.

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