If $A = x y, B = y z$ and $C = z x$ then find ABC= $x^{2} y^{2} z^{2}$

True

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

False

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

Open in App

Solution

The correct option is A True
We multiply the given binomials $A = x y, B = y z$ and $C = z x$ as shown below:

$(x y) \times (y z) \times (z x) = (x \times y) \times (y \times z) \times (z \times x) = (x \times x) \times (y \times y) \times (z \times z) = x^{2} \times y^{2} \times z^{2} = x^{2} y^{2} z^{2}$

Hence, the product of $A = x y, B = y z$ and $C = z x$ is $x^{2} y^{2} z^{2}$ .

Suggest Corrections

Similar questions

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

x^{2} + x y + x z = 135, y^{2} + y z + y x = 351

z^{2} + z x + z y = 243

x + y + z = 10

x^{2} + y^{2} + z^{2} = 40

x y + y z + z x

x = a + b ω + c ω^{2}, y = a ω + b ω^{2} + c

z = a ω^{2} + b + c ω

\frac{x^{2}}{y z} + \frac{y^{2}}{z x} + \frac{z^{2}}{x y}

if x²+ y²+ z²- xy+ yz+ zx = 0 then x+y/z is

Join BYJU'S Learning Program