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简算:(1+2/3)x(1-2/3)x(1+2/5)x(1-2/5)x...x(1+2/99)x(1-2/99)
人气:320 ℃ 时间:2020-07-07 21:27:54
解答
(1+2/3)x(1-2/3)x(1+2/5)x(1-2/5)x...x(1+2/99)x(1-2/99)
=(5/3)*(1/3)*(7/5)*(3/5)*.*(101/99)*(97/99)
=1/3*(3/5)*(5/3)*(7/5*5/7)*.*(99/97*97/99)*(101/99)
=1/3*101/99
=101/297
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