If $(x + y + z = 0)$ , then what is $(x + y) (y + z) (z + x)$ equal to?

- x y z

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

x^{2} + y^{2} + z^{3}

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

x^{3} + y^{3} + z^{3} + 3 x y z

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

x y z

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

Open in App

Solution

The correct option is A $- x y z$
$(x + y) (y + z) (z + x) = - z \times - x \times - y = - x y z$

Suggest Corrections

Similar questions

x + y + z = 0

\frac{x^{3} + y^{3}}{x y z} = \frac{y^{3} + z^{3}}{x y z} = \frac{x^{3} + z^{3}}{x y z} = a

\frac{{(x - y)}^{3} + {(y - z)}^{3} + {(z - x)}^{3}}{(x - y) (y - z) (z - x)}

\frac{(x - y)^{3} + {(y - z)}^{3} + {(z - x)}^{3}}{9 (x - y) (y - z) (z - x)} = ?

Join BYJU'S Learning Program