Question

(x-y)(x+y)+(y-z)(y+z)+(z-x)(z+x) is​

Answer 1

Step-by-step explanation:

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

x²+xy-x²-xy + y² + zy - zy - z² + z² + xz - xz- x²

x² -x² + xy -xy +y² + zy - zy -z² + z² +xz - xz - x² collect like terms

= y² -x²