计算,

计算,

题目
计算,
12/(m²-9)-2/(m-3)
((x²-4)/(x²-4x+4)-(x-2)/(x+2))÷x/(x-2)
答案
12/(m²-9)-2/(m-3)
=12/(m+3)(m-3)-2(m+3)/(m+3)(m-3)
=(12-2m-6)/(m+3)(m-3)
=-2(m+3)/(m+3)(m-3)
=-2/(m-3)
((x²-4)/(x²-4x+4)-(x-2)/(x+2))÷x/(x-2)
=[(x+2)(x-2)/(x-2)²-(x-2)/(x+2)]×(x-2)/x
=[(x+2)(x-2)/(x-2)²-(x-2)/(x+2)]×(x-2)/x
=[(x+2)/(x-2)-(x-2)/(x+2)]×(x-2)/x
=[(x+2)²-(x-2)²]/(x+2)(x-2)×(x-2)/x
=4x/(x+2)(x-2)×(x-2)/x
=4/(x+2)
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