(1-a²+8/a²+4a+4)/4a-4/a²+2a
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(1-a²+8/a²+4a+4)/4a-4/a²+2a
(1-a²+8/a²+4a+4)/4a-4/a²+2a
(1-a²+8/a²+4a+4)/4a-4/a²+2a
[1 - (a²+8)/(a²+4a+4)]÷ (4a-4)/(a²+2a)
=[(a²+4a+4) - (a²+8)]/(a²+4a+4)× (a²+2a)/(4a-4)
=(4a-4)/(a+2)² × a(a+2)/(4a-4)
=a/(a+2)
(1-(a²+8)/a²+4a+4)/4a-4/a²+2a
=(a²+2a)((a²+4a+4)-(a²+8))/(a²+4a+4)(4a-4)
=(a(a+2)(4-4a))/((a+2)²(4a-4))
=-a/(a+2)