(2x^-5x+2/6x^+13x+6)*(6x^-5x-6/6x^-17x+10)*(12x^+8x-15/2x^-x)*(x/3-2x)

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/04 21:50:17
(2x^-5x+2/6x^+13x+6)*(6x^-5x-6/6x^-17x+10)*(12x^+8x-15/2x^-x)*(x/3-2x)

(2x^-5x+2/6x^+13x+6)*(6x^-5x-6/6x^-17x+10)*(12x^+8x-15/2x^-x)*(x/3-2x)
(2x^-5x+2/6x^+13x+6)*(6x^-5x-6/6x^-17x+10)*(12x^+8x-15/2x^-x)*(x/3-2x)

(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)

结果是-1,没错

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