UC知道几道简单的化简分式的题目，要快，答完立刻给分
来源：百度知道 编辑：UC知道 时间：2024/07/07 10:05:59
填空：
⑴x+1/x+2=2x+2/( )=( )/3x+6=x^2+x/( )=( )/2x^3+4x^2
判断是否是最简分式,不是的请化简
⑵x+16/2x+16
⑶x^2-4/4-2x
化简
⑷9x-9/4-4x
⑸x^2-1/x^2+x-2
⑹x^2-4x+4/2x-4
⑺3x^2-9x-12/x^2+2x+1
⑻x^2-7x+12/-x^2+9x-20
⑼xy-x-y+1/y^2-2y+1
[需过程]
⑴x+1/x+2=2x+2/( )=( )/3x+6=x^2+x/( )=( )/2x^3+4x^2
判断是否是最简分式,不是的请化简
⑵x+16/2x+16
⑶x^2-4/4-2x
化简
⑷9x-9/4-4x
⑸x^2-1/x^2+x-2
⑹x^2-4x+4/2x-4
⑺3x^2-9x-12/x^2+2x+1
⑻x^2-7x+12/-x^2+9x-20
⑼xy-x-y+1/y^2-2y+1
[需过程]
⑴x+1/x+2=2x+2/( 2x+4 )=( 3x+3 )/3x+6=x^2+x/( x^2+2x )=( 2x^3+2x^2 )/2x^3+4x^2
判断是否是最简分式,不是的请化简
⑵x+16/2x+16, 是最简分式
⑶x^2-4/4-2x
=(x+2)(x-2)/2(2-x)
=-(x+2)/2
化简
⑷9x-9/4-4x
=9(x-1)/4(1-x)
=9(x-1)/[-4(x-1)]
=-9/4
⑸x^2-1/x^2+x-2
=(x+1)(x-1)/(x+2)(x-1)
=(x+1)/(x+2)
⑹x^2-4x+4/2x-4
=(x-2)^2/2(x-2)
=(x-2)/2
⑺3x^2-9x-12/x^2+2x+1
=3(x-4)(x+1)/(x+1)^2
=(3x-12)/(x+1)
⑻x^2-7x+12/-x^2+9x-20
=(x-3)(x-4)/[-(x-4)(x-5)]
=(x-3)/(5-x)
⑼xy-x-y+1/y^2-2y+1
=(x-1)(y-1)/(y-1)^2
=(x-1)/(y-1)