作业帮(2x^-5x+2/6x^+13x+6)*(6x^-5x-6/6x^-17x+10)*(12x^+8x-15/2x^-x
来源：学生作业帮 编辑：拍题作业网作业帮 分类：数学作业 时间：2024/04/25 17:25:05
(2x^-5x+2/6x^+13x+6)*(6x^-5x-6/6x^-17x+10)*(12x^+8x-15/2x^-x)*(x/3-2x)
主要是考察因式分解这方面的技能啊!
[(2x²-5x+2)/(6x²+13x+6)]*[(6x²-5x-6)/(6x²-17x+10)]*[(12x²+8x-15)/(2x²-x)*(x/3-2x)]
＝{[(2x-1)(x-2)]/[(3x+2)(2x+3)]}*{[(3x+2)(2x-3)]/[(6x-5)(x-2)]} * {[(6x-5)(2x+3)]/[x(2x-1)]}*x/(3-2x)
=-1
(对上式分子分母约分时要看仔细了,特别是2x－3与3－2x这两项是互为相反数,所以最后得数为－1)
[(2x²-5x+2)/(6x²+13x+6)]*[(6x²-5x-6)/(6x²-17x+10)]*[(12x²+8x-15)/(2x²-x)*(x/3-2x)]
＝{[(2x-1)(x-2)]/[(3x+2)(2x+3)]}*{[(3x+2)(2x-3)]/[(6x-5)(x-2)]} * {[(6x-5)(2x+3)]/[x(2x-1)]}*x/(3-2x)
=-1
(对上式分子分母约分时要看仔细了,特别是2x－3与3－2x这两项是互为相反数,所以最后得数为－1)
(2x^-5x+2/6x^+13x+6)*(6x^-5x-6/6x^-17x+10)*(12x^+8x-15/2x^-x
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