5x/(x平方+x-6)+2x-5/(x平方-x-12)-(7x-10)/(x平方-6x+8)化简分式

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5x/(x平方+x-6)+2x-5/(x平方-x-12)-(7x-10)/(x平方-6x+8)化简分式

5x/(x平方+x-6)+2x-5/(x平方-x-12)-(7x-10)/(x平方-6x+8)化简分式
5x/(x平方+x-6)+2x-5/(x平方-x-12)-(7x-10)/(x平方-6x+8)化简分式

5x/(x平方+x-6)+2x-5/(x平方-x-12)-(7x-10)/(x平方-6x+8)化简分式
5x/(x平方+x-6)+2x-5/(x平方-x-12)-(7x-10)/(x平方-6x+8)
=5x/(x-2)(x+3)+(2x-5)/(x+3)(x-4)-(7x-10)/(x-2)(x-4)
=[5x(x-4)+(2x-5)(x-2)-(7x-10)(x+3)]/(x-2)(x-4)(x+3)
=【5x²-20x+2x²-9x+10-7x²-11x+30】/(x-2)(x-4)(x+3)
=(-40x+40)/(x-2)(x-4)(x+3)
=-40(x-1)/(x-2)(x-4)(x+3)