गुणवत्ता खंड: (i) (xy)^(3)+(yz)^(3)+(zx)^(3) (ii) (x-2y)^(3)+(2y-4z)^(3 )+(4z-x)^(3) (iii) ...

Factorize: (3x-2y)^(3)+(2y-4z)^(3)+(4z-3x)^(3)

Factorize: (2x-3y)^(3)+(4z-2x)^(3)+(3y-4z)^(3)

If x = 1, y = 2 and z = 5, find the value of (i) 3x - 2y + 4z (ii) x^(2) + y^(2) + z^(2) (iii) 2x^(2) - 3y^(2) + z^(3) (iv) xy + yz - zx (v) 2x^(2) y - 5yz + xy^(2) (vi) x^(3) - y^(3) - z^(3)

Q.10 Show that the expression (x^(2)-yz)^(3)+(y^(2)-zx)^(3)+(z^(2)-xy)^(3)-3(x^(2)-yz)(y^(2)-zx)(z^(2)-xy) is a perfect square and find its square roots.

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

Express ((x^(3)+y^(3)+z^(3)-3xyz)/((x^(2)+y^(2)+z^(2)-xy-yz-zx))) in lowest terms

If x = 1, y = - 2 and z = 3. find the value of (i) x^(3) + y^(3) + z^3-3xyz (ii) 3xy^(4) - 15 x^(2) y + 4z