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.
find domain
(ab-b)/a - (ab-a)/b - (a^2-b^2)/ab
1 answer