To simplify this expression, we first need to find a common denominator for both fractions.
First fraction: 1/a^2 + ab
Second fraction: 1/ab - a^2
The common denominator is (a^2)(ab), so we need to rewrite both fractions with this denominator:
(1/a^2 + ab) = (ab - a^3)/(a^2)(ab)
(1/ab - a^2) = (1 - a^3)/(a^2)(ab)
Now we can combine these two fractions:
(ab - a^3)/(a^2)(ab) - (1 - a^3)/(a^2)(ab)
= (ab - a^3 - 1 + a^3)/(a^2)(ab)
= (ab - 1)/(a^2)(ab)
Therefore, the simplified expression is (ab - 1)/(a^2)(ab).
To simplify this expression, we first need to find a common denominator for both fractions.
First fraction: 1/a^2 + ab
Second fraction: 1/ab - a^2
The common denominator is (a^2)(ab), so we need to rewrite both fractions with this denominator:
(1/a^2 + ab) = (ab - a^3)/(a^2)(ab)
(1/ab - a^2) = (1 - a^3)/(a^2)(ab)
Now we can combine these two fractions:
(ab - a^3)/(a^2)(ab) - (1 - a^3)/(a^2)(ab)
= (ab - a^3 - 1 + a^3)/(a^2)(ab)
= (ab - 1)/(a^2)(ab)
Therefore, the simplified expression is (ab - 1)/(a^2)(ab).