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A financial analyst is comparing two cost-efficiency models represented by the rational expressions 8x2−2x−3\frac{8}{x^2 - 2x - 3} and 3xx2+4x+3\frac{3x}{x^2 + 4x + 3}. To perform a calculation, both models must be rewritten with a common denominator of (x+1)(x−3)(x+3)(x + 1)(x - 3)(x + 3). To convert the second expression, 3xx2+4x+3\frac{3x}{x^2 + 4x + 3}, the analyst must multiply both the numerator and the denominator by the binomial factor ____.

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Updated 2026-09-18

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