Factorize-
`xy-yz-zx+z^2`

Factorize 1+x+y-z+xy-yz-zx-xyz

factorise: det[[x,y,zx^(2),y^(2),z^(2)yz,zx,xy]]

What should be added to xy+yz+zx to get -xy-yz-zx

If the sides of a triangle are xy+yz,yz+zx,zx+xy then inradius of the triangle is

Show that |[yz-x^2, zx-y^2, xy-y^2] , [zx-y^2, xy-z^2, yz-x^2] , [xy-z^2, yz-x^2, zx-y^2]|= |[r^2, u^2, u^2] , [u^2, r^2, u^2] , [u^2, u^2, r^2]| where r^2 = x^2+y^2+z^2 and u^2= xy+yz+zx

Factoris the expression. y ^(2) + 8 zx - 2 xy - 4 yz