Question 567927
x-1 over x squired +7x+6 + 4 over x squire-3x-4 + 14 over x squire+ 2x-24

{{{((x-1)/(x^2+7x+6))+ ((4)/(x^2-3x-4))+((14)/(x^2+2x-24))}}} 


{{{((x-1)/(x+6)(x+1))+ ((4)/(x-4)(x+1))+((14)/(x+6)(x-4)))}}} 


LCD = (x+6)(x+1)(x-4)


{{{((x-1)(x-4)+4(x+6)+14(x+1))/((x+6)(x+1)(x-4))}}}


{{{(x^2-5x+4+4x+24+14x+14)/((x+6)(x+1)(x-4))}}}


{{{(x^2+13x+42)/((x+6)(x+1)(x-4))}}}


{{{((x+6)(x+7))/((x+6)(x+1)(x-4))}}}

{{{(x+7)/((x+1)(x+4))}}}


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