(3—a)÷{a+2—5÷(a—2)}+2÷(a+3)的化简

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(3—a)÷{a+2—5÷(a—2)}+2÷(a+3)的化简
(3—a)÷{a+2—5÷(a—2)}+2÷(a+3)的化简

(3—a)÷{a+2—5÷(a—2)}+2÷(a+3)的化简
(3—a)÷{a+2—5÷(a—2)}+2÷(a+3)
=(3-a)÷{(a²-9)/(a-2)}+2/(a+3)
=(3-a)× (a-2)/[(a-3)(a+3)]+2/(a+3)
=-(a-2)/(a+3)+2/(a+3)
=(-a+2+2)/(a+3)
=(4-a)/(a+3)

原式=(3-a)÷[(a²-4-5)/(a-2)+2/(a+3)
=-(a-3)×(a-2)/(a+3)(a-3)+2/(a+3)
=(-a+2)/(a+3)+2/(a+3)
=(-a+4)/(a+3)

(3—a)÷{a+2—5÷(a—2)}+2÷(a+3)
原式=(3-a)÷{(a²-9)/(a-2)}+2/(a+3)
=(3-a)× (a-2)/[(a-3)(a+3)]+2/(a+3)
=-(a-2)/(a+3)+2/(a+3)
=(-a+2+2)/(a+3)
=(4-a)/(a+3)
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