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