化简(x方-2x分之x+2+x方-4x+4分之1-x)除以x分之x-4

问题描述:

化简(x方-2x分之x+2+x方-4x+4分之1-x)除以x分之x-4

原式=[(x+2)/x(x-2)-(x-1)/(x-2)²]×x/(x-4)
=[(x²-4-x²+x)/x(x-2)²]×x/(x-4)
=[(x-4)/x(x-2)²]×x/(x-4)
=1/(x-2)²