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a^2+12a-11=0
a^2+12a=11
a(a+12)=11
原式=[(a+11)(a-11)/(a-11)^2+1/(a-11)]×a(a-11)/11
=[(a+11)/(a-11)+1/(a-11)]×a(a-11)/11
=(a+12)/(a-11)×a(a-11)/11
=a(a+12)/11
=11/11
=1
a^2+12a=11
a(a+12)=11
原式=[(a+11)(a-11)/(a-11)^2+1/(a-11)]×a(a-11)/11
=[(a+11)/(a-11)+1/(a-11)]×a(a-11)/11
=(a+12)/(a-11)×a(a-11)/11
=a(a+12)/11
=11/11
=1
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