help please with this question

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(x+5)/(x-6) + (x+2)/(x-1) -1 how do I do this

Dec 5th, 2014

You need to make every group has the same common denominator. In this case, (x-6)(x-1)

(x+5)/(x-6) + (x+2)/(x-1) -1

 =(x+5)(x-1)/(x-6)(x-1)+(x+2)(x-6)/(x-1)(x-6)-(x-1)(x-6)/(x-1)(x-6)

 Since every group has the same common denominator now, you can put their numerators together for simplification.

(x+5)(x-1)+(x+2)(x-6)-(x-1)(x-6)

 =x^2+4x-5+x^2-4x-12-x^2+7x-6

 =x^2+7x-23

So (x+5)/(x-6) + (x+2)/(x-1) -1

     =(x^2+7x-23)/(x-1)(x-6)

     =(x^2+7x-23)/(x^2-7x+6)


Dec 5th, 2014

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Dec 5th, 2014
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