Value of $(p - q)^{3} + (q - r)^{3} + (r - p)^{3}$ is

3 (p - q) (q - r) (r - p)

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

(p - q) (q - r) (r - p)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

9 (p - q) (q - r) (r - p)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

3 (p + q) (q + r) (r + p)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is D $3 (p - q) (q - r) (r - p)$
$(p - q) = a; (q - r) = b$
& $(r - p) = c$
$\Rightarrow a + b + c = 0$
$∴ a^{3} + b^{3} + c^{3} = 3 a b c$
$\Rightarrow 3 (p - q) (q - r) (r - p)$

Suggest Corrections

Similar questions

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

The factors of $(p - q)^{3} + (q - r)^{3} + (r - p)^{3}$ are:

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

52 p q r (p + q) (q + r) (r + p) \div 104 p q (q + r) (r + p)

52 p q r (p + q) (q + r) (r + p) \div 104 p q (q + r) (r + p)

Join BYJU'S Learning Program