Question 272045
{{{(6x)/(5x^2-16x-45)}}} - {{{x/(x^2-7x+10)}}}
Factor both denominators
{{{(6x)/((5x+9)(x-5))}}} - {{{x/((x-5)(x-2))}}}
:
Common denominator; (x-5)(5x+9)(x-2)
:
{{{(6x(x-2)- x(5x+9))/((5x+9)(x-5)(x-2))}}} = {{{(6x^2 - 12x - 5x^2 - 9x)/((5x+9)(x-5)(x-2))}}} = {{{(x^2 - 21x)/((5x+9)(x-5)(x-2))}}} = {{{x(x - 21)/((5x+9)(x-5)(x-2))}}}