a2+2a+1/a2-1-1/a-1 化简求值 其中a=根号2

问题描述:

a2+2a+1/a2-1-1/a-1 化简求值 其中a=根号2

原式=(a+1)²/(a²-1)-1/(a-1)
=((a+1)²-(a+1))/(a²-1)
=(a²+a)/(a²-1)
=a/(a-1)
=√2/(√2-1)
=√2(√2+1)
=2+√2;
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