Find the coefficient of `x^3y^4z^5` in the expansion of `(xy+yz+zx)^6`

(i) Find the coefficient of x^(3)y^(4)z^(2)t^(5) in the expansion of (x-y+z-t)^(14) . (ii) Find the coefficient of x^(10)y^(12)z^(8) in the expansion of (xy+yz+zx)^(15)

Cofficient of x^(3)y^(10)z^(5) in expansion of (xy+yz+zx)^(6) is

Find the sum of the following algebraic expressions : 4xy - 3yz + 2zx , 2xy - yz - zx , - xy + 5yz + 6zx

If x+y+z=0,x^2+y^2+z^2=60, find xy + yz + zx

If x^2+y^2+z^2= xy+yz+zx then find the value of (x+y):z.

If x+y+z=0,x^2+y^2+z^2=60, find xy + yz + zx

If x+y = 4, xy = 2, y+z = 5, yz = 3, z+x = 6 and zx = 4, then find the value of x^3+y^3+z^3-3xyz यदि x+y = 4, xy = 2, y+z = 5, yz = 3, z+x = 6 और zx = 4 है, तो x^3+y^3+z^3-3xyz का मान ज्ञात करें

If x+y -z = 4 and x^(2) + y^(2) + z^(2) = 30 , then find the value of xy- yz- zx