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若多项式(2mx²-x²=5x+8)-(5x²-3y=5x)的值与x的取值无关,求m³-(2m²-(5m-4)+m)的值
人气:249 ℃ 时间:2020-04-10 01:24:32
解答
题目应是:若多项式(2mx²-x²+5x+8)-(5x²-3y+5x)的值与x的取值无关,求m³-(2m²-(5m-4)+m)的值(2mx^2-x^2+5x+8)-(5x^2-3y+5x)
=2mx^2-x^2+5x+8-5x^2+3y-5x
=2mx^2-6x^2+8+3y
=2(m-3)x^2+3y+8 多项式的值与x的取值无关,所以 m-3=0,m=3
m^3-[2m^2-(5m-4)+m]
=m^3-(2m^2-5m+4+m)
=m^3-2m^2+5m-4-m
=m^3-2m^2+4m-4
=3^3-2x3^2+4x3-4
=17
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