分式1/(a-2) + 2/(a+1) - 2/(a-1) - 1/(a+2)

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分式1/(a-2) + 2/(a+1) - 2/(a-1) - 1/(a+2)

分式1/(a-2) + 2/(a+1) - 2/(a-1) - 1/(a+2)
分式1/(a-2) + 2/(a+1) - 2/(a-1) - 1/(a+2)

分式1/(a-2) + 2/(a+1) - 2/(a-1) - 1/(a+2)
1/(a-2) - 1/(a+2) + 2/(a+1) - 2/(a-1) =[(a+2) - (a-2)]/(a-2)(a+2)+(2-2)/(a-1)(a+1)
=4除以a的平方加4+1

1/(a-2) + 2/(a+1) - 2/(a-1) - 1/(a+2)
=1/(a-2) - 1/(a+2)+ 2/(a+1) - 2/(a-1)
=4/(a^2-4)-4/(a^2-1)
=4*3/(a^2-1)(a^2-4)
=12/(a^2-1)(a^2-4)

-8/(a-2)(a+2)(a+1)(a-1)

第一个和第三个合在一起。第二个和第四个合在一起。最后为0