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

Factorize: 2xy-(x^(2)+y^(2)-z^(2))

In the following, which pairs contain like terms? -2xy,zz,-3x^(2)y^(2)z^(2)

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

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)

Factorise : (v) x^(2) - 2xy + y^(2) - z^(2)

tan^(-1)((yz)/(xsqrt(x^(2)+y^(2)+z^(2))))+tan^(-1)((zx)/(ysqrt(x^(2)+y^(2)+z^(2)))) +tan^(-1)((xy)/(zsqrt(x^(2)+y^(2)+z^(2))))=

"Tan"^(-1)(yz)/(xsqrt(x^(2)+y^(2)+z^(2)))+"Tan"^(-1)(zx)/(ysqrt(x^(2)+y^(2)+z^(2)))+"Tan"^(-1)(xy)/(zsqrt(x^(2)+y^(2)+z^(2)))=