A coat's original price of $112 was reduced by 20 percent for a sale. If the sale price was then reduced by 20 percent, which of the following expresses the price of the coat after the second price reduction?
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A${112}({1}-{0.2})^{2}
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B${112}({1}-{0.4})^{2}
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C${112}({1}-{0.4})
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D${112}[{1}-({0.2})^{2}]
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E${112}[{1}-({0.4})^{2}]
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正确答案: A