(7^2+1)/(7^2-1)=1+1/6-1/8是怎么推导出来的

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答案和解析

(7^2+1)/(7^2-1)
=(7^2+1)/[(7-1)(7+1)]
=(7^2+1)/(6*8)
=[(7+1)^2-2*7]/(6*8)
=8^2/(6*8)-(6+8)/(6*8)
=8/6-(1/8+1/6)
=1+2/6-1/8-1/6
=1+1/6-1/8

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