Select the correct answer. Which expression is equivalent to [ frac{2 x+14}{x^{2}-25} cdot frac{8 x+40}{6 x+42} ]
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The first fraction \[\frac{2x+14}{x^{2}-25}\] can be factored as \[\frac{2(x+7)}{(x-5)(x+5)}\]. The second fraction \[\frac{8x+40}{6x+42}\] can be factored as \[\frac{8(x+5)}{6(x+7)}\]. So the original expression becomes \[\frac{2(x+7)}{(x-5)(x+5)} \cdot Show more…
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