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2x×5x 5x/(x平方+x-6)+2x-5/(x平方-x-12)-(7x-10)/(x平方-6x+8)化简分式

火烧 2023-03-11 14:14:45 1091
5x/ x平方+x-6 +2x-5/ x平方-x-12 - 7x-10 / x平方-6x+8 化简分式 5x/ x平方+x-6 +2x-5/ x平方-x-12 - 7x-10 / x平方-6x+8 化

5x/(x平方+x-6)+2x-5/(x平方-x-12)-(7x-10)/(x平方-6x+8)化简分式  

2x×5x 5x/(x平方+x-6)+2x-5/(x平方-x-12)-(7x-10)/(x平方-6x+8)化简分式

5x/(x平方+x-6)+2x-5/(x平方-x-12)-(7x-10)/(x平方-6x+8)化简分式

5x/(x平方+x-6)+2x-5/(x平方-x-12)-(7x-10)/(x平方-6x+8)
=5x/(x-2)(x+3)+(2x-5)/(x+3)(x-4)-(7x-10)/(x-2)(x-4)
=[5x(x-4)+(2x-5)(x-2)-(7x-10)(x+3)]/(x-2)(x-4)(x+3)
=【5x²-20x+2x²-9x+10-7x²-11x+30】/(x-2)(x-4)(x+3)
=(-40x+40)/(x-2)(x-4)(x+3)
=-40(x-1)/(x-2)(x-4)(x+3)

化简分式x平方+2x/x平方-4-2/x-2

(x² + 2x)/(x² -4) - 2/(x-2)
= x(x-2)/(x+2)(x-2) - 2/(x-2)
= x/(x-2) - 2/(x-2)
= (x-2)/(x-2)
= 1

化简:x平方-x-2/x平方-x-6除以x平方+4x-5/x平方+2x-10

x平方-x-2/x平方-x-6除以x平方+4x-5/x平方+3x-10
=[(x-2)(x+1)/(x-3)(x+2)]/[(x+5)(x-1)/(x+5)(x-2)]
=[(x-2)(x+1)/(x-3)(x+2)]×[(x+5)(x-2)/(x+5)(x-1)]
=(x-2)²(x+1)/(x-3)(x+2)(x-1)

5x/x的2次方+x-6+2x-5/x的2次方-x-12=7x-10/x的2次方-6x+8

5x/(x的2次方+x-6)+(2x-5)/(x的2次方-x-12)=(7x-10)/(x的2次方-6x+8)
5x/[(x-2)(x+3)]+(2x-5)/[(x+3)(x-4)]-(7x-10)/[(x-2)(x-4)]=0
[5x(x-4)+(2x-5)(x-2)-(7x-10)(x+3)]/[(x-2)(x+3)(x-4)]=0
(40-40x)/[(x-2)(x+3)(x-4)]=0
x=1

化简x的平方+2x-3/x的平方-9*x的平方-5x+6/x的平方-1

解:
原式
=(x+3)(x-1)/(x+3)(x-3) *(x-2)(x-3)/(x+1)(x-1)
=(x-1)/(x-3) *(x-2)(x-3)/(x+1)(x-1)
=(x-1)/(x-3) *(x-2)(x-3)/(x+1)(x-1)
=(x-2)/(x+1)
取x=1,则
原式=-1/2

化简分式:0.5x的平方-2x+2/4分之1x的平方-1=

原式=0.5(x²-4x+4)/[0.25(x²-4)]
=2(x-2)²/(x+2)(x-2)
=(2x-4)/(x+2)

化简分式1-x/x的平方-1

(1-x)/(x^2-1)
=(1-x)/(x-1)(x+1)
=-(x-1)/(x-1)(x+1)
=-1/(x+1)
祝你好运,学习进步

化简:(x的平方-x-2)/(x的平方-5x+6) 化简:2(x-y)的平方/8(y-x)的立方

化简:(x的平方-x-2)/(x的平方-5x+6)
=(x-2)(x+1)/(x-2)(x-3)
=(x+1)/(x-3)
化简:2(x-y)的平方/8(y-x)的立方
=-2(x-y)²/8(x-y)³
=-1/4(x-y)
=-1/(4x-4y)

3x+2/x的平方-5x+6-2x+3/x的平方-5x+6+x-3/x的平方-5x+6

=(3x+2-2x+3+x-3)/(x²-5x+6)
=(2x+2)/(x²-5x+6)

化简:(x的平方-9)/(x的平方-2x-15) 化简:(x)/(x的平方-x)=

化简:(x的平方-9)/(x的平方-2x-15)=(x+3)(x-3)/(x-5)(x+3)=(x-3)/(x-5)
化简:(x)/(x的平方-x)=x/x(x-1)=1/(x-1)

  
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