化简(x^3-1)/(x^3+2x^2+2x+1)+(x^3+1)/(x^3-2x^2+2x-1)-(2x^2+2)/(x^2-1) 方法:先化简再通分
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![化简(x^3-1)/(x^3+2x^2+2x+1)+(x^3+1)/(x^3-2x^2+2x-1)-(2x^2+2)/(x^2-1) 方法:先化简再通分](/uploads/image/z/7187890-58-0.jpg?t=%E5%8C%96%E7%AE%80%28x%5E3-1%29%2F%28x%5E3%2B2x%5E2%2B2x%2B1%29%2B%28x%5E3%2B1%29%2F%28x%5E3-2x%5E2%2B2x-1%29-%282x%5E2%2B2%29%2F%28x%5E2-1%29+%E6%96%B9%E6%B3%95%EF%BC%9A%E5%85%88%E5%8C%96%E7%AE%80%E5%86%8D%E9%80%9A%E5%88%86)
化简(x^3-1)/(x^3+2x^2+2x+1)+(x^3+1)/(x^3-2x^2+2x-1)-(2x^2+2)/(x^2-1) 方法:先化简再通分
化简(x^3-1)/(x^3+2x^2+2x+1)+(x^3+1)/(x^3-2x^2+2x-1)-(2x^2+2)/(x^2-1) 方法:先化简再通分
化简(x^3-1)/(x^3+2x^2+2x+1)+(x^3+1)/(x^3-2x^2+2x-1)-(2x^2+2)/(x^2-1) 方法:先化简再通分
原式=(x-1)(x^2+x+1)/[(x+1)(x^2-x+1)+2x(x+1)]+(x+1)(x^2-x+1)/[(x-1)(x^2+x+1)-2x(x-1)]-2(x^2+1)/(x+1)(x-1)
=(x-1)(x^2+x+1)/(x+1)(x^2+x+1)+(x+1)(x^2-x+1)/(x-1)(x^2-x+1)-2(x^2+1)/(x+1)(x-1)
=(x-1)/(x+1)+(x+1)/(x-1)-2(x^2+1)/(x+1)(x-1)
=[(x-1)^2+(x+1)^2-2(x^2+1)]/(x+1)(x-1)
=(x^2-2x+1+x^2+2x+1-2X^2-2)/(x+1)(x-1)
=0