a) (1-x^2)/(x^2)+2x:(2-2x)/(3x)

To solve the expression , we need to follow these steps:1. **Rewrite the division as multiplication by the reciprocal:** 2. **Factorize the numerators and denominators where possible:** 3. **Substitute the factored forms into the expression:** 4. **Cancel out common factors in the numerator and denominator:** Here, \((1 - x)\) cancels out.5. **Simplify the remaining expression:** \frac{1 + x}{x(x + 2)} \times \frac{3x}{2} = \frac{(1 + x) \cdot 3x}{x(x + 2) \cdot 2} \] 6. **Further simplify if possible:** Thus, the simplified form of the given expression is:\[\boxed{\frac{3(1 + x)}{2(x + 2)}}\