X的平方-4分之1,4-2x分之x通分

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X的平方-4分之1,4-2x分之x通分
X的平方-4分之1,4-2x分之x通分

X的平方-4分之1,4-2x分之x通分
x²-4=(x+2)(x-2)
4-2x=-2(x-2)
最简公分母是2(x+2)(x-2)
x²-4分之1=1/(x²-4)
=1/[(x+2)(x-2)]
=2/[2(x+2)(x-2)]
4-2x分之x=x/(4-2x)
=x/[-2(x-2)]
=x(x+2)/[-2(x+2)(x-2)]
= -x(x+2)/[2(x+2)(x-2)]

X的平方-4分之1,4-2x分之x通分,
1/(x²-4)=1/[(x+2)*(x-2)],
x/(4-2x)= -x/2(x-2),
公分母是: 2(x+2)(x-2),
1/(x²-4)=1/[(x+2)*(x-2)]=2/[2(x+2)(x-2)],,
x/(4-2x)= -x/2(x-2)= - x(x+2)/[2(x+2)(x-2)],