`(x+y)^3+(y+z)^3+(z+x)^3-3(x+y)(y+z)(z+x)`

What is the value of ((x - y)^3 + (y - z)^3 + (z - x)^3)/(9(x - y)(y - z)(z - x)) ?

((x-y)^(3)+(y-z)^(3)+(z-x)^(3))/((x-y)(y-z)(z-x))=

What is ((x-y)^(3) + (y-z)^(3) + (z-x)^(3))/(4(x-y)(y-z)(z-x)) equal to ?

A person travels three equal distances at a speed of x km/hr, y km/hr and z knyhr respectively. What is the average speed for the whole journey? (x y z)/(3(x y+y z+z x)) b. (x y z)/((x y+y z+z x)) c. ((x y+y z+z x))/(x y z) d. (3x y z)/((x y+y z+z x))

The value of the expression ((x ^(2) - y ^(2)) ^(3) + ( y ^(2) - z ^(2)) ^(3) + (z ^(2) - x ^(2)) ^(3))/((x - y) ^(3) + ( y - z) ^(3) + (z - x ) ^(3)) is

Prove that 64(x+y+z)^3-(2x+y+z)^3-(x+2y+z)^3-(x+y+2z)^3=3(3x+3y+2z)(3x+2y+3z)(2x+3y+3z)

Find (x+y+z)^(3)-(x+y-z)^(3)-(y+z-x)^(3) -(z + x-y)^(3)