Question 88157
you need to start using brackets to group things together as your expression is one long list and very difficult to understand.


I am assuming you meant the following (after deciphering it for about 5 minutes):


{{{ ((14x-4)/(x^2+3x-4)) * ((x^2+6x+8)/(2x^2+5x-3)) * ((x^2+2x-3)/(x^2+2x)) }}} which, in effect, is just:
{{{ (14x-4)/(x^2+3x-4) * (x^2+6x+8)/(2x^2+5x-3)*(x^2+2x-3)/(x^2+2x) }}}
Now we need to start factorising these 6 expressions where possible.


{{{ ( (14x-4)(x^2+6x+8)(x^2+2x-3) )/( (x^2+3x-4)(2x^2+5x-3)(x^2+2x) ) }}}
{{{ ( 2(7x-2)(x+4)(x+2)(x+3)(x-1) )/( (x+4)(x-1)(2x-1)(x+3)x(x+2) ) }}}


and now we can cancel out anything that appears on the top and bottom:
{{{ ( 2(7x-2)(x+2)(x+3)(x-1) )/( (x-1)(2x-1)(x+3)x(x+2) ) }}}
{{{ ( 2(7x-2)(x+3)(x-1) )/( (x-1)(2x-1)(x+3)x ) }}}
{{{ ( 2(7x-2)(x-1) )/( (x-1)(2x-1)x ) }}}
{{{ ( 2(7x-2) )/( (2x-1)x ) }}}


so the final version is {{{ ( 2(7x-2) )/( x(2x-1) ) }}}

cheers
Jon