代数式1/x-1+1/x+1+2x³/x²+1+4x³/x^4+1化简结果为
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代数式1/x-1+1/x+1+2x³/x²+1+4x³/x^4+1化简结果为
![代数式1/x-1+1/x+1+2x³/x²+1+4x³/x^4+1化简结果为](/uploads/image/z/7343441-17-1.jpg?t=%E4%BB%A3%E6%95%B0%E5%BC%8F1%2Fx-1%2B1%2Fx%2B1%2B2x%26%23179%3B%2Fx%26%23178%3B%2B1%2B4x%26%23179%3B%2Fx%5E4%2B1%E5%8C%96%E7%AE%80%E7%BB%93%E6%9E%9C%E4%B8%BA)
1/x-1+1/x+1+2x/x²+1+4x³/x^4+1
=(x+1+x-1)/(x-1)(x+1)+2x/(x²+1)+4x³/(x^4+1)
=2x/(x²-1)+2x/(x²+1)+4x³/(x^4+1)
=[2x(x²+1)+2x(x²-1)]/(x²-1)(x²+1)+4x³/(x^4+1)
=4x³/(x^4-1)+4x³/(x^4+1)
=[4x³(x^4+1)+4x³(x^4-1)]/(x^4-1)(x^4+1)
=8x^7/(x^8-1)
题目打错了,2x³/x²+1这项应该是2x/x²+1
=(x+1+x-1)/(x-1)(x+1)+2x/(x²+1)+4x³/(x^4+1)
=2x/(x²-1)+2x/(x²+1)+4x³/(x^4+1)
=[2x(x²+1)+2x(x²-1)]/(x²-1)(x²+1)+4x³/(x^4+1)
=4x³/(x^4-1)+4x³/(x^4+1)
=[4x³(x^4+1)+4x³(x^4-1)]/(x^4-1)(x^4+1)
=8x^7/(x^8-1)
题目打错了,2x³/x²+1这项应该是2x/x²+1
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