Question

Value of (2x-3y)cube+(3y-4z)cube+(4z-2x)cube is
​

Answer 1

Answer:

= 3(2x-3y)(3y-4z)(4z-2x)

Step-by-step explanation:

We know that ,

• If a + b + c = 0 ,then

• a³ + b³ + c³ = 3abc

Here ,

• a = 2x - 3y ,

• b = 3y - 4z ,

• c = 4z - 2x ,

Now ,

a + b + c = 2x-3y+3y-4z+4z-2x = 0

∴ ,(2x-3y)³+(3y-4z)³+(4z-2x)³

= 3abc

= 3(2x-3y)(3y-4z)(4z-2x)