Simplify the expression: (2 / (x - 1)) - (3 / (x + 2)).
Answer and explanation
Correct answer: D. (-x + 7) / ((x - 1)(x + 2))
- Step 1: Find common denominator: (x - 1)(x + 2). Step 2. Rewrite numerator: 2(x + 2) - 3(x - 1) = 2x + 4 - 3x + 3. Step 3. Combine like terms: -x + 7. Answer: (-x + 7) / ((x - 1)(x + 2)). Why not the others: Forgetting to distribute the negative sign to -3(-1) yields +4 - 3 = +1; other slips generate +5 or 5x.
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