Simplify : `(x+y+2z)(x^2+y^2+4z^2-xy-2yz-2zx)`

Simplify- (x-y-z)(x^2+y^2+z^2+xy-yz+zx)

Find the product: (x+y+2z)(x^(2)+y^(2)+4z^(2)-xy-2yz-2zx)

Find the following produts: (i) (x+y+2z)(x^(2)+y^(2)+4z^(2)-xy-2yz-2xz)(2x-y+2z)(4x^(2)+y^(2)+9z^(2)+2xy+3yz-6xz)

Find the product: (3x+2y+2z)(9x^(2)+4y^(2)+4z^(2)-6xy-4yz-6zx)

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

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

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

(x-y-z)^(2)-(x^(2)+y^(2)+z^(2))=2(yz-zx-xy)

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

Find the product: (4x-3y+2z)(16x^(2)+9y^(2)+4z^(2)+12xy+6yz-8zx)