Explanation of the given expressions:
- Xy-xy: This expression represents the subtraction of the product of x and y from the product of y and x. Mathematically, it can be written as xy - yx. In mathematics, the order of multiplication does not matter, so xy and yx are essentially the same thing. Therefore, xy - yx simplifies to 0.
- Yz-zx: This expression represents the subtraction of the product of y and z from the product of z and x. Mathematically, it can be written as yz - zx. Unlike the previous expression, yz and zx are not the same thing since the order of multiplication matters. This expression cannot be simplified further unless the actual values of y and z are known.
- Zx-xy: This expression represents the subtraction of the product of z and x from the product of x and y. Mathematically, it can be written as zx - xy. Similar to the second expression, zx and xy are not the same thing. This expression also cannot be simplified further without knowing the specific values of x and y.
In conclusion, while the first expression simplifies to 0 due to the commutative property of multiplication, the second and third expressions require more information about the actual values of the variables involved to be further simplified.