(1+1/2+1/3+1/4)*(1/2+1/3+1/4+1/5)怎么做,求讲解 (1+1/2+1/3+1/4)*(1/2+1/3+1/4+1/5)-(1+1/2+1/3+1/4+1/5)*(1/2+1/3+1/4)求讲解!
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![(1+1/2+1/3+1/4)*(1/2+1/3+1/4+1/5)怎么做,求讲解 (1+1/2+1/3+1/4)*(1/2+1/3+1/4+1/5)-(1+1/2+1/3+1/4+1/5)*(1/2+1/3+1/4)求讲解!](/uploads/image/z/5712447-39-7.jpg?t=%281%2B1%2F2%2B1%2F3%2B1%2F4%29%2A%281%2F2%2B1%2F3%2B1%2F4%2B1%2F5%29%E6%80%8E%E4%B9%88%E5%81%9A%2C%E6%B1%82%E8%AE%B2%E8%A7%A3+%281%2B1%2F2%2B1%2F3%2B1%2F4%29%2A%281%2F2%2B1%2F3%2B1%2F4%2B1%2F5%29-%281%2B1%2F2%2B1%2F3%2B1%2F4%2B1%2F5%29%2A%281%2F2%2B1%2F3%2B1%2F4%29%E6%B1%82%E8%AE%B2%E8%A7%A3%21)
(1+1/2+1/3+1/4)*(1/2+1/3+1/4+1/5)怎么做,求讲解 (1+1/2+1/3+1/4)*(1/2+1/3+1/4+1/5)-(1+1/2+1/3+1/4+1/5)*(1/2+1/3+1/4)求讲解!
(1+1/2+1/3+1/4)*(1/2+1/3+1/4+1/5)怎么做,求讲解
(1+1/2+1/3+1/4)*(1/2+1/3+1/4+1/5)-(1+1/2+1/3+1/4+1/5)*(1/2+1/3+1/4)求讲解!
(1+1/2+1/3+1/4)*(1/2+1/3+1/4+1/5)怎么做,求讲解 (1+1/2+1/3+1/4)*(1/2+1/3+1/4+1/5)-(1+1/2+1/3+1/4+1/5)*(1/2+1/3+1/4)求讲解!
令a=1/2+1/3+1/4
则1+1/2+1/3+1/4=1+a
1/2+1/3+1/4+1/5=a+1/5
1+1/2+1/3+1/4+1/5=1+a+1/5
所以原式=(1+a)(a+1/5)-a(1+a+1/5)
=a(1+a)+(1+a)*1/5-a(1+a)-a*1/5
=(1+a)*1/5-a*1/5
=1/5+a*1/5-a*1/5
=1/5
(1+1/2+1/3+1/4)*(1/2+1/3+1/4+1/5)-(1+1/2+1/3+1/4+1/5)*(1/2+1/3+1/4)
=(1/2+1/3+1/4+1/5)+【(1/2+1/3+1/4)*(1/2+1/3+1/4+1/5)】
-【(1/2+1/3+1/4+1/5)*(1/2+1/3+1/4)】-(1/2+1/3+1/4)
=(1/2+1/3+1/4+1/5)-(1/2+1/3+1/4)
=1/5