先化简,再求值,其中x=2.式子见补充:1 x²-2x+1 x-1( ———— + ————)÷ ————x+1 x²-1 x+1
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![先化简,再求值,其中x=2.式子见补充:1 x²-2x+1 x-1( ———— + ————)÷ ————x+1 x²-1 x+1](/uploads/image/z/5437603-19-3.jpg?t=%E5%85%88%E5%8C%96%E7%AE%80%2C%E5%86%8D%E6%B1%82%E5%80%BC%2C%E5%85%B6%E4%B8%ADx%3D2.%E5%BC%8F%E5%AD%90%E8%A7%81%E8%A1%A5%E5%85%85%EF%BC%9A1+x%26%23178%3B-2x%2B1+x-1%28+%E2%80%94%E2%80%94%E2%80%94%E2%80%94+%2B+%E2%80%94%E2%80%94%E2%80%94%E2%80%94%29%C3%B7+%E2%80%94%E2%80%94%E2%80%94%E2%80%94x%2B1+x%26%23178%3B-1+x%2B1)
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先化简,再求值,其中x=2.式子见补充:1 x²-2x+1 x-1( ———— + ————)÷ ————x+1 x²-1 x+1
先化简,再求值,其中x=2.式子见补充:
1 x²-2x+1 x-1
( ———— + ————)÷ ————
x+1 x²-1 x+1
先化简,再求值,其中x=2.式子见补充:1 x²-2x+1 x-1( ———— + ————)÷ ————x+1 x²-1 x+1
[1/(x+1)+(x²-2x+1)/(x²-1)]÷(x-1)/(x+1)
=[1/(x+1)+(x-1)²/(x+1)(x-1)][(x+1)/(x-1)]
=[1/(x+1)+(x-1)/(x+1)][(x+1)/(x-1)]
=[x/(x+1)][(x+1)/(x-1)]
=x/(x-1)
=2/(2-1)
=2
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=(x/(x+1))*(x+1)/(x-1)=x/(x-1)=2