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

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)

Multiply by using the correct identity (x+y-z)(x^(2)+y^(2)+z^(2)-xy+xz+yz)

If x^(2) + y^(2) + z^(2) - xy- yz - zx = 0 , prove that : x= y = z

If x^(2) + y^(2) + z^(2) = xy + yz + zx , then the triangle is :

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

Prove that |(x^(2),x^(2)-(y-z)^(2),yz),(y^(2),y^(2)-(z-x)^(2),zx),(z^(2),z^(2)-(x-y)^(2),xy)|=(x-y)(y-z)(z-x)(x+y+z)(x^(2) + y^(2) + z^(2)) .

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

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