作业帮【【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!
来源：学生作业帮助网 编辑：作业帮 时间：2024/04/19 05:42:40
【【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!
【【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!
【【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)(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)
(1)a³-4ab²/a³-4a²b+4ab²
=a(a²-4b²)/a(a²-4ab+4b²)
=(a+2b)(a-2b)/(a-2b)²
=(a+2b)/(a-2b)
=3
(*^__^*) 嘻嘻……
(1)a³-4ab²/a³-4a²b+4ab²
=a(a²-4b²)/a(a²-4ab+4b²)
=(a+2b)(a-2b)/(a-2b)²
=(a+2b)/(a-2b)
=(-2-1)/(-2+1)
=3
(2)1-4x^4/2x³+x
全部展开
(1)a³-4ab²/a³-4a²b+4ab²
=a(a²-4b²)/a(a²-4ab+4b²)
=(a+2b)(a-2b)/(a-2b)²
=(a+2b)/(a-2b)
=(-2-1)/(-2+1)
=3
(2)1-4x^4/2x³+x
=(1+2x²)(1-2x²)/x(2x²+1)
=(1-2x²)/x
(3)x²y-2xy+y/y-x²y
=y(x²-2x+1)/y(1-x²)
=(x-1)²/(1+x)(1-x)
=-(x-1)/(x+1)
收起