2) A=(3a+sqrt (9a)-3)/(a+sqrt (a)-2)-(sqrt (a)+1)/(sqrt (a)+2)+(sqrt (a)-2)/(1-sqrt (a)) với ageqslant 0;aneq 1 a) Rút gọn A

<p><img src="https://static.questionai.vn/resource/qaiseoimg/202501/a3asqrt-3a3asqrt-a2sqrt-a1sqrt-a2sqrt-a21sqrt-aagt-00neq-t0ZrUO2j2I0S.jpg" alt=" $A=(3a+sqrt (3a)-3)/(a+sqrt (a)-2)-(sqrt (a)+1)/(sqrt (a)+2)+(sqrt (a)-2)/(1-sqrt (a))(agt 0,0neq 1)$ $=(5cdot (a+sqrt (a)-1))/((sqrt (a)-1)(sqrt {a)+2)}-(sqrt (a)+1)/(sqrt (a)+2)-(sqrt (a)-2)/(sqrt (a)-1)$ $=(3a+3sqrt (a)-3-a+1-a+4)/((sqrt (a)-1)(sqrt {a)+2)}$ $=(a+3sqrt (a)+2)/((sqrt (a)-1)(sqrt {a)+2)}=((sqrt (a)+2)(sqrt (a)+2))/((sqrt (a)-1)(sqrt {a)+2)}=(sqrt (a)-1)/(sqrt (a)+1)$ "></p>