Question 923010
Do exactly as you thought!  You will be able to use that product to turn the rational, complicated, expression into an expression with only a single numerator and single denominator.


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result should be  {{{highlight((x^2+5x-14)/(x^2+12x+35))}}}.




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Maybe simplifiable to


{{{((x-2)(x+7))/((x+5)(x+7))}}}


{{{((x-2)cross((x+7)))/((x+5)cross((x+7)))}}}


{{{highlight((x-2)/(x+5))}}}