化简(1/x+3)-(6/x^2-9)-(x-1/6-2x)

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化简(1/x+3)-(6/x^2-9)-(x-1/6-2x)
化简(1/x+3)-(6/x^2-9)-(x-1/6-2x)

化简(1/x+3)-(6/x^2-9)-(x-1/6-2x)
1/(x+3)-6/(x²-9)-(x-1)/(6-2x)
=1/(x+3)-6/[(x+3)(x-3)]+(x-1)/(2x-6)
=1/(x+3)-6/[(x+3)(x-3)]+(x-1)/2(x-3)
=2(x-3)/[2(x+3)(x-3)]-12/[2(x+3)(x-3)]+[(x+3)(x-1)]/[2(x+3)(x-3)]
=[2(x-3)-12+(x+3)(x-1)]/[2(x+3)(x-3)]
=(2x-6-12+x²+2x-3)/[2(x+3)(x-3)]
=(x²+4x-21)/[2(x+3)(x-3)]
=(x+7)(x-3)/[2(x+3)(x-3)]
=(x+7)/[2(x+3)]
=(x+7)/(2x+6)
注：为了让你看得更清,写得详细了点,具体解题时部分过程可以省略.

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