Answer to Question #11055 in Algebra for n k siva prasad

Question

factorize
(x-y+z)^2+2(x-y+z)(y-z+x)+(y-z-x)

Answer 1

(x-y+z)^2+2(x-y+z)(y-z+x)+(y-z-x)=(x-y+z)^2+2(x-y+z)(y-z+x)-(-y+z+x)=(x-y+z)*(x-y+z+2*(y-z+x)-1)=(x-y+z)*(x-y+z+2y-2z+2x-1)=(x-y+z)(3x+y-z-1)