" (ii) "x^(2)+y^(2)-z^(2)-2xy

Factorise : (i) 4x^(2)+9y^(2)+16z^(2)+12xy-24yz-16xz (ii) 2x^(2)+y^(2)+8z^(2)-2sqrt(2)xy+4sqrt(2)yz-8xz

If x=q+r +s, y = r +s -p and z= p+q +r then the value of x^(2) +y^(2) +z^(2) -2xy -2xz +2yz is

The equation 12x^(2)-2y^(2)-6z^(2)-2xy-8xy+6xz=0 represents

Factorise: (i) 4x^(2)+9y^(2)+16z^(2)+12xy-24yz-16xz(ii)2x^(2)+y^(2)+8z^(2)-2sqrt(2)xy+4sqrt(2)yz-8xz

Verify that: (x+y+z)^(2)=x^(2)+y^(2)+z^(2)+2xy+2yz+2zx

Determine which of the following polynomials are linear, quadratic and cubic polynomials : x^(2)+y^(2)+z^(2)+2xy

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