Question

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

Answer 1

Answer:

hey,

the answer is: x²-y²+y²-z²+z²-x²

and all will be got cancelled.

so the answer is 0.

Answer 2

Answer:

0

Step-by-step explanation:

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

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

=x²+xy-yx-y²+y²-yz+zy-z²+z²+zx-xz-x²

=x²-y²+y²-z²+z²-x²+xy-yx-yz+zy+zx-xz

=0