计算x+3分之x-2÷(x-3+x+3分之5)

问题描述:

计算x+3分之x-2÷(x-3+x+3分之5)

(x-2)/(x+3)÷[x-3+5/(x+3)]
=(x-2)/(x+3)÷[(x-3)(x+3)+5]/(x+3)
=(x-2)/(x+3)÷[(x²-9+5)/(x+3)]
=(x-2)/(x+3)÷[(x+2)(x-2)/(x+3)]
=1÷(x+2)
=1/(x+2)