作业帮求化简一道数学题.
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求化简一道数学题.
求化简一道数学题.
求化简一道数学题.
原式={(x+2)/[x(x-2)] - (x-1)/(x-2)²} ÷ [(x-4)(x+4)]/[x(x+4)]
={[(x+2)(x-2)-x(x-1)]/[x(x-2)²]} × x/(x-4)
={(x-4)/[x(x-2)²]} × x/(x-4)
=1/(x-2)²
原式={(x+2)/[x(x-2)] - (x-1)/(x-2)²} ÷ [(x-4)(x+4)]/[x(x+4)]
={[(x+2)(x-2)-x(x-1)]/[x(x-2)²]} • x/(x-4)
={(x-4)/[x(x-2)²]} • x/(x-4)
=1/(x-2)²
望采纳凸^-^凸
1/[(x-2)(x-4)]