illduck
幼苗
共回答了17个问题采纳率:100% 举报
[(x^2-x-6)/(x^2-4)+(x-3)/(x+2)]÷(x-3)/(x+1)
=[(x-3)(x+2)/(x-2)(x+2)+(x-3)/(x+2)]÷(x-3)/(x+1)
=[(x-3)/(x-2)+(x-3)/(x+2)]÷(x-3)/(x+1)
=[(x-3)/(x-2)+(x-3)/(x+2)]*(x+1)/(x-3)
=(x-3)/(x-2)*(x+1)/(x-3)+(x-3)/(x+2)*(x+1)/(x-3)
=(x+1)/(x-2)+(x+1)/(x+2)
=(x+1)(x+2)/[(x-2)(x+2)]+(x+1)(x-2)/[(x-2)(x+2)]
=(x+1)[(x+2)+(x-2)]/[(x-2)(x+2)]
=2x(x+1)/[(x-2)(x+2)]
1年前
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