Question 46573
Perform the indicated operations:
{{{((3x^2(x-4y)-20x(x-4y)+25(x-4y))/(3x^2(4y-x)-14x(4y-x)-5(4y-x)))/((4x-1)/(3x+1))}}}
{{{(((x-4y)(3x^2-20x+25))/((4y-x)(3x^2-14x-5)))*((3x+1)/(4x-1))}}} Factor the top trinomial and the bottom trinomial.
{{{(((x-4y)(3x-5)(x-5))/(4y-x)(3x+1)(x-5))*((3x+1)/(4x-1))}}} Cancel the common factors in the top and bottom.
{{{((x-4y)(3x-5))/(4y-x)(4x-1)}}} Rewrite (4y-x) as -(x-4y)
{{{((x-4y)(3x-5))/(-(x-4y)(4x-1))}}} Cancel the common factors.
{{{-(3x-5)/(4x-1)}}}