Question

(x-1分之2x-x+1分之3x)除以x^2-1分之x

Answer 1

[2x/(x-1)-3x/(x+1)]÷x/(x^2-1)

=[2x/(x-1)-3x/(x+1)]*(x^2-1)/x

=[2x/(x-1)-3x/(x+1)]*(x+1)(x-1)/x

=[2x/(x-1)*(x+1)(x-1)/x-3x/(x+1)*(x+1)(x-1)/x(应用分配率)

=2(x+1)-3(x-1)

=2x+2-3x+3

=-x+5