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)

find the reflection of P(x,y,z) in the (i) XY plane (ii) YZ plane (iii) ZX plane

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

find the value of x+y+z if x^(2)+y^(2)+z^(2)=18 and xy+yz+zx=9 .

If x+y+z=2, xy+yz+zx= 11, then the value of x^3 +y^3 +z^3 - 3xyz is: यदि x+y+z=2, है, xy+yz+zx= 11 है तो x^3 +y^3 +z^3 - 3xyz का मान होगाः

If x = 6, y = 4 and z = 3, then find the value of x ^(2) + y ^(2) + z ^(2) - 2xy + 2 yz - 2 zx.

Find the product. (x+y-z)(x^2+y^2+z^2-xy+yz+zx)

If x^2/(yz)+y^2/(zx)+z^2/(xy)=3 then (x+y+z)^3=

If x+y+z=3 and xy+yz+zx = -18, then what is the value of x^3+y^3+z^3-3xyz = ? यदि x+y+z=3 और xy+yz+zx = -18 है, तो x^3+y^3+z^3-3xyz =?