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数学计算题,奇了怪了,算几次结果都不一样

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数学计算题,奇了怪了,算几次结果都不一样
先化简再求值:x+3/3-x+x²-9/x²+6x+9,其中x=-2
数学计算题,奇了怪了,算几次结果都不一样
(x+3)/(3-x)+(x²-9)/(x²+6x+9)?
=(x+3)/(3-x)+(x+3)(x-3)/(x+3)²
=(x+3)/(3-x)+(x-3)/(x+3)
=-(x+3)(x+3)/[(x-3)(x+3)]+(x-3)(x-3)/[(x+3)(x-3)]
=[-(x+3)²+(x-3)²]/[(x-3)(x+3)]
=[(x-3)²-(x+3)²]/[(x-3)(x+3)]
=(x-3+x+3)(x-3-x-3)/[(x-3)(x+3)]
=(2x)(-6)/[(x-3)(x+3)]
=-12x/[(x-3)(x+3)]
x=-2
-12x/[(x-3)(x+3)]
=-12*(-2)/[(-2-3)(-2+3)]
=24/(-5)
=-24/5