(4+1⼀5+1⼀6+1⼀7)*(1⼀5+1⼀6+1⼀7+1⼀8)-(4+1⼀5+1⼀6+1⼀7+1⼀8)*(1⼀5+1⼀6+1⼀7)

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2025-03-17 19:36:59
推荐回答(2个)
回答1:

原式=4*(1/5+1/6+1/7+1/8)+(1/5+1/6+1/7)*(1/5+1/6+1/7+1/8)-[(1/5+1/6+1/7+1/8)*(1/5+1/6+1/7)+4*(1/5+1/6+1/7)]
=4*(1/5+1/6+1/7+1/8)-4*(1/5+1/6+1/7)
=1/2

回答2:

=(4+1/5+1/6+1/7)*【(1/5+1/6+1/7)+1/8】-(4+1/5+1/6+1/7+1/8)*(1/5+1/6+1/7)
=(4+1/5+1/6+1/7)*(1/5+1/6+1/7)+(4+1/5+1/6+1/7)*1/8-(4+1/5+1/6+1/7+1/8)*(1/5+1/6+1/7)
=(1/5+1/6+1/7)*【(4+1/5+1/6+1/7)-(4+1/5+1/6+1/7+1/8)】+(4+1/5+1/6+1/7)*1/8
=(4+1/5+1/6+1/7)*(-1/8)+(4+1/5+1/6+1/7)*1/8
=1/8*【(4+1/5+1/6+1/7)-(4+1/5+1/6+1/7)】
=1/8*(-4)
=-1/2