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Simplify the complex fraction: (1/a - 1/b) / (1 - ab)
Mathematics
ScanSolve AI Answer
Answer
✅ Correct.
The solution provided in the image correctly simplifies the complex fraction.
Explanation:
The steps shown accurately apply algebraic properties:
- Multiplicative Identity is used to express terms with a common denominator.
- The Golden Rule (multiplying numerator and denominator by the same non-zero value) is applied to find common denominators for the sub-fractions.
- The Distribution Law (factoring out the common denominator ) is used to combine the terms in the numerator and denominator.
- Finally, the Cancellation Law is applied to cancel the common factor from the main numerator and denominator, leading to the correct simplified form.
The final answer is correct.
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