Question 476643
{{{(6x^2+13x+6)/(6-5x-6x^2)}}}...factor {{{(6x^2+13x+6)}}} and {{{(6-5x-6x^2)}}}



{{{(6x^2+13x+6)/(6-5x-6x^2)}}}......Replace {{{13x}}} with {{{4x+9x}}} and {{{5x}}} with {{{-4x+9x}}}


={{{(6x^2+4x+9x+6)/(6-4x+9x-6x^2)}}}......group


={{{((6x^2+4x)+(9x+6))/((6+9x)-(4x+6x^2))}}}


={{{(2x(3x+2)+3(3x+2))/(3(2+3x)-2x(2+3x))}}}


={{{((2x+3)(3x+2))/((3-2x)(2+3x))}}}


={{{(cross((2x+3))(3x+2))/((3-2x))cross((2+3x)))}}}


={{{(3x+2)/(3-2x)}}}