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(0.1+0.21+0.31)*(0.21+0.31+0.41)-(0.1+0.21+0.31+0.41)*(0.21+0.31)的简便计算
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(0.1+0.21+0.31)*(0.21+0.31+0.41)-(0.1+0.21+0.31+0.41)*(0.21+0.31)的简便计算
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答案和解析
答：设0.1+0.21+0.31=a,0.21+0.31=b.则：a-b=0.1
(0.1+0.21+0.31)× (0.21+0.31+0.41)-(0.1+0.21+0.31+0.41)×(0.21+0.31)
=a(b+0.41)-(a+0.41)b
=ab+0.41a-ab-0.41b
=0.41(a-b)
因为：a-b=0.1
所以：原式=0.41×0.1=0.041
(0.1+0.21+0.31)× (0.21+0.31+0.41)-(0.1+0.21+0.31+0.41)×(0.21+0.31)
=a(b+0.41)-(a+0.41)b
=ab+0.41a-ab-0.41b
=0.41(a-b)
因为：a-b=0.1
所以：原式=0.41×0.1=0.041
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