作业帮 > 数学 > 作业

几道有关分式加减乘除的题目!

来源:学生作业帮 编辑:神马作文网作业帮 分类:数学作业 时间:2024/11/23 20:19:48
几道有关分式加减乘除的题目!
计算2/X-1 - (1-3X)/2-2X结果
计算a-b+2b²/a+b=
化简(1-1/a-2)÷3-a/2a-4
已知a+b=3,ab=1,则a/b+b/a=
化简(x-1/y)÷(y-1/x)=
若x等于它的倒数,则x²-4x+4/x+3÷ x-2/x²+6x+9
几道有关分式加减乘除的题目!
2/(X-1) - (1-3X)/(2-2X)
= 2/(X-1) + (1-3X)/{2(X-1)}
= ( 2*2+1-3X)/{2(X-1)}
= (5-3X) / {2(X-1)}
a-b + 2b^2 / (a+b)
= {(a-b)(a+b)+2b^2} / (a+b)
= {a^2-b^2+2b^2) / (a+b)
= (a^2+b^2)/(a+b)
{(1-1/(a-2)}÷(3-a)/(2a-4)
=(a-2-1)/(a-2) * 2(a-2)/{-(a-3)}
=-(a-3)/(a-2) * 2(a-2)/(a-3)
=-2
a+b=3,ab=1
a/b+b/a
=(a^2+b^2)/(ab)
={(a+b)^2-2ab}/(ab)
={3^2-2*1} / 1
=7
(x-1/y)÷(y-1/x)
= (xy-1)/y ÷ (xy-1)/x
=xy
x=1/x
x^2=1
x=±1
(x²-4x+4)/(x+3) ÷ (x-2)/(x²+6x+9)
= (x-2)^2/(x+3) * (x+3)^2/(x-2)
= (x+3)(x-2)
= x^2 + x - 6
= 1+x-6
= x-5
= ±1-5
= -6,或-4