Question 93120
(3x + 4 / x + 6) - (2x / x + 1) 
You need a common denomiator so you can subtract the fractions:
[(3x+4)(x+1)-2x(x+6)]/[(x+6)(x+1)

= [3x^2+7x+4-2x^2-12x]/[(x+6)(x+1)

= [x^2-5x+4]/[(x+6)(x+1)]

= [(x-4)(x-1)]/[(x+6)(x+1)]

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Cheers,
Stan H.