化简:x(x^2+x)/x^2(x^2-1)

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化简:x(x^2+x)/x^2(x^2-1)
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化简:x(x^2+x)/x^2(x^2-1)
化简:x(x^2+x)/x^2(x^2-1)

化简:x(x^2+x)/x^2(x^2-1)

=x²(x+1)/x²(x+1)(x-1)
=1/(x-1)


原式=x2(x+1)/x2(x+1)(x-1)
=1/(x-1)


x(x^2+x)/x^2(x^2-1)
=x^2(x+1)/[x^2(x+1)(x-1)]
=1/(x-1)

(X+1)/(X^2-1) =1/(X-1)

分子提出个x,分母用平方差公式展开,于是分子分母同时约去x的平方以及(x+1),结果就是1/(x-1)