百度作业网【【分式的约分】】··追加++++++++++++
来源：学生作业帮 编辑：百度作业网作业帮 分类：数学作业 时间：2024/07/19 22:01:58
【【分式的约分】】··追加++++++++++++
(1)a³-4ab²/a³-4a²b+4ab²,其中a=-2,b=-0.5.
(2)1-4x^4/2x³+x
(3)x²y-2xy+y/y-x²y
多少都行,但不能超过150哈!
(1)a³-4ab²/a³-4a²b+4ab²,其中a=-2,b=-0.5.
(2)1-4x^4/2x³+x
(3)x²y-2xy+y/y-x²y
多少都行,但不能超过150哈!
(1)(a^3-4ab^2)/(a^3-4a^2b+4ab^2)
=a(a^2-4b^2)/a(a^2-4ab+4b^2)
=[a(a-2b)(a+2b)]/a(a-2b)^2
=(a+2b)/(a-2b)
=[-2+2*(-0.5)]/[-2-2*(-0.5)]
=(-2-1)/(-2+1)
=3
(2)(1-4x^4)/(2x^3+x)
=(1-2x^2)(1+2x^2)/x(2x^2+1)
=(1-2x^2)/x
(3)(x^2y-2xy+y)/(y-x^2y)
=y(x^2-2x+1)/y(1-x^2)
=y(x-1)^2/y(1-x)(1+x)
=-(x-1)/(1+x)
=(1-x)(1+x)
=a(a^2-4b^2)/a(a^2-4ab+4b^2)
=[a(a-2b)(a+2b)]/a(a-2b)^2
=(a+2b)/(a-2b)
=[-2+2*(-0.5)]/[-2-2*(-0.5)]
=(-2-1)/(-2+1)
=3
(2)(1-4x^4)/(2x^3+x)
=(1-2x^2)(1+2x^2)/x(2x^2+1)
=(1-2x^2)/x
(3)(x^2y-2xy+y)/(y-x^2y)
=y(x^2-2x+1)/y(1-x^2)
=y(x-1)^2/y(1-x)(1+x)
=-(x-1)/(1+x)
=(1-x)(1+x)