计算:((x的平方-2x)分之(x+2)-(x的平方-4x+4)分之(x-1))÷(x)分之(x-4)

问题描述:

计算:((x的平方-2x)分之(x+2)-(x的平方-4x+4)分之(x-1))÷(x)分之(x-4)

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