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x-2/x²-x÷(1/x-1+1-x)等于多少
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x-2/x²-x÷(1/x-1+1-x)= (x-2)/x(x-1) - x/((x-1)(1/x+x)) = (x-2)/x(x-1) - x/(x-1)将两项通分,并合并同类项可得:((x-2) - x²)/(x²-x) = (-(x²-x+2))/(x²-x) = -(x+2)/(x-1)(一个负号可以约掉) 最终计算答案为 -(x+2)/(x-1),其中包含了 1/x² 的项
咨询记录 · 回答于2023-03-08
x-2/x²-x÷(1/x-1+1-x)等于多少
你好
这个算式可以进行简化,先化简后做除法:x-2/x²-x÷(1/x-1+1-x) = x-2/x(x-1) - x/(x-1)(x+1) = [(x-2)(x+1)- x^2]/[x(x-1)(x+1)] = (3-x)/[x(x-1)(x+1)]
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答案是 (3-x)/[x(x-1)(x+1)]
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x-2/x²-x÷(1/x-1+1-x)我算的是1/x²不确定是否正确
x-2/x²-x÷(1/x-1+1-x)= (x-2)/x(x-1) - x/((x-1)(1/x+x)) = (x-2)/x(x-1) - x/(x-1)将两项通分,并合并同类项可得:((x-2) - x²)/(x²-x) = (-(x²-x+2))/(x²-x) = -(x+2)/(x-1)(一个负号可以约掉) 最终计算答案为 -(x+2)/(x-1),其中包含了 1/x² 的项