find domain

(ab-b)/a - (ab-a)/b - (a^2-b^2)/ab

1 answer

The given expression is:

(ab-b)/a - (ab-a)/b - (a^2-b^2)/ab

To find the domain, we need to identify any values of variables that would result in division by zero, which is undefined.

For the expression (ab-b)/a to be defined, a cannot be equal to zero.

Similarly, for the expression (ab-a)/b to be defined, b cannot be equal to zero.

Lastly, for the expression (a^2-b^2)/ab to be defined, neither a nor b can be equal to zero, as the numerator will then be zero as well.

Therefore, the domain of the given expression is all real numbers except zero for a and b:
a ≠ 0 and b ≠ 0.