Question 706451
{{{((9x^2-4)/(3x^2-5x+2)) *((9x^4-6x^2+4x^2)/(27x^4+8x))}}}


{{{(((3x)^2-2^2)/(3x^2-5x+2)) *((9x^4-6x^2+4x^2)/x(27x^3+8))}}}........


write {{{(3x)^2-2^2}}} as a product of factors {{{(3x-2)(3x+2)}}}


and write {{{3x^2-5x+2}}} as a product of factors; replace {{{-5x}}} with {{{-2x-3x}}}

{{{3x^2-2x-3x+2}}}....group

{{{(3x^2-2x)-(3x-2)}}}

{{{x(3x-2)-(3x-2)}}}

{{{(x-1)(3x-2)}}}......plug it in 


{{{(((3x-2)(3x+2))/((x-1)(3x-2))) *((9x^4-6x^2+4x^2)/x(27x^3+8))}}}


{{{((cross((3x-2))(3x+2))/((x-1)cross((3x-2)))) *((9x^4-6x^2+4x^2)/x(27x^3+8))}}}


{{{((3x+2)/(x-1)) *(x^2(9x^2-6+4)/x((3x)^3+2^3))}}}


{{{((3x+2)/(x-1)) *(x^cross(2)(9x^2-2)/cross(x)((3x)^3+2^3))}}}


{{{((3x+2)/(x-1)) *(x(9x^2-2))}}}.... write as {{{(3x+2)(9x^2-6x+4)}}}


{{{((3x+2)/(x-1)) *((x(9x^2-2))/(3x+2)(9x^2-6x+4))}}}



{{{((cross((3x+2))/(x-1))) *((x(9x^2-2))/cross((3x+2))(9x^2-6x+4))}}}



{{{(1/(x-1)) *((x(9x^2-2))/(9x^2-6x+4)))}}}