गुणनखण्ड कीजिए:
`(x-y)^(3)+(y-z)^(3)+(z-x)^(3)`

Explanation

माना `x-y=a,y-z=b` तथा z - x = c हो, तो
`a+b+c=x-y+y-z+z-x=0`
`therefore a^(3)+b^(3)+c^(3)=3abc`
`implies(x-y)^(3)+(y-z)^(3)+(z-x)^(3)=3(x-y)(y-z)(z-x)`