The range of `x^2+4y^2+9z^2-6yz-3xz-2xy` is

25x^2+4y^2+9z^2-20xy-12yz+30xz

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

Factorize the following 16x^2+4y^2+9z^2-16xy-12yz+24xz

Factorize the following 9x^2+4y^2+16z^2+12xy-16yz-24xz

Simplify (i) ( 2a+3b +4c) (4a^(2) +9b^(2) +16c^(2) -6ab -12bc -8ca ) (ii) ( x-2y+3z ) ( x^(2) +4y ^(2) +9z^(2) +2xy +6yz -3xz )

Factorise 16x^2+4y^2+9z^2-16xy-12yz+24xz

Factorize 9x^2+4y^2+16z^2+12xy-16yz-24xz .