Question

simplify

(x + y - Z) x + (z + x - y) y- (x + y - z)z​

Answer 1

(x + y - z)x + (z + x - y) y- (x + y - z)z

= (x + y - z)(x + y - z) = (x+y-z)² — Identity V

— x² + y² + (-z)² + 2xy + 2(x+y)*(-z)

= x² + y² + z² + 2xy - 2xz - 2yz