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问一个数学问题!谢了（1+1/11+1/13+1/17）*(1/11+1/13+1/17+1/19)-(1+1/11+1/13+1/17+1/19)*(1/11+1/13+1/17)=?（要过程）谢了
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问一个数学问题!谢了
（1+1/11+1/13+1/17）*(1/11+1/13+1/17+1/19)-(1+1/11+1/13+1/17+1/19)*(1/11+1/13+1/17)=?（要过程）谢了
（1+1/11+1/13+1/17）*(1/11+1/13+1/17+1/19)-(1+1/11+1/13+1/17+1/19)*(1/11+1/13+1/17)=?（要过程）谢了
▼优质解答
答案和解析
（1+1/11+1/13+1/17）*(1/11+1/13+1/17+1/19)-(1+1/11+1/13+1/17+1/19)*(1/11+1/13+1/17)
=（1+1/11+1/13+1/17）*(1/11+1/13+1/17)+（1+1/11+1/13+1/17）*1/19-(1+1/11+1/13+1/17)*(1/11+1/13+1/17)-1/19×(1/11+1/13+1/17)
=（1+1/11+1/13+1/17）*1/19-1/19×(1/11+1/13+1/17)
=1×1/19+(1/11+1/13+1/17）*1/19-1/19×(1/11+1/13+1/17)
=1/19
=（1+1/11+1/13+1/17）*(1/11+1/13+1/17)+（1+1/11+1/13+1/17）*1/19-(1+1/11+1/13+1/17)*(1/11+1/13+1/17)-1/19×(1/11+1/13+1/17)
=（1+1/11+1/13+1/17）*1/19-1/19×(1/11+1/13+1/17)
=1×1/19+(1/11+1/13+1/17）*1/19-1/19×(1/11+1/13+1/17)
=1/19
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