Помогите упростить следующее выражение
(а/(0,5а+1)+(2/3 а)/(2-а)+2а/(1/4 а^2-1))×(0,5а-1)/(2,5а-2)
(а/(0,5а+1)+(2/3 а)/(2-а)+2а/(1/4 а^2-1))×(0,5а-1)/(2,5а-2)
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1)а/(0,5а+1)+(2/3 а)/(2-а)+2а/(1/4 а^2-1)=2a/(a+2)-2a/3(a-2)+8a/(a-2)(a+2)==(6a²-12a-2a²-4a+24a)/3(a²-4)=(4a²+8a)/3(a²-4)=4a(a+2)/3(a-2)(a+2)=
=4a/3(a-2)
2)4a/3(a-2)*(0,5а-1)/(2,5а-2)=4a/3(a-2)*(a-2)/(5a-4)=4a/(15a-12)