Question 32281
{{{(3x^2(x-4y)-20x(x-4y)+25(x-4y))/ (3x^2(4y-x)-14x(4y-x)-5(4y-x))}}} / {{{(4x-1) / (3x+1)}}}
Take out (x-4y) as a factor, top and bottom
{{{((x-4y)(3x^2-20x+25))/ ((4y-x)(3x^2-14x-5)) }}}*{{{ (3x+1)/(4x-1) }}}
cancel the common factors on top and bottom, and factorise the quadratic expressions
{{{ -(3x-5)(x-5)/(3x+1)(x-5)*(3x+1)/(4x-1)) }}}
cancel the common factors on top and bottom,
{{{ -(3x-5)/(4x-1)) }}}