SOLUTION: Hi! So i have a question about adding radicals. I was gone for this day so i am not sure how to do it. add [(x+5)/(x-2)]+[(-10x-36)/(x^2+4x-12)]

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Question 806894: Hi! So i have a question about adding radicals. I was gone for this day so i am not sure how to do it.
add [(x+5)/(x-2)]+[(-10x-36)/(x^2+4x-12)]

Answer by edjones(8007)   (Show Source): You can put this solution on YOUR website!
[(x+5)/(x-2)]+[(-10x-36)/(x^2+4x-12)]
=(x+5)/(x+2) - (10x+36)/((x-2)(x+6))
=((x+5)(x+6))-(10x+36)/((x-2)(x+6))
=(x^2+11x+30-10x-36)/((x-2)(x+6))
=(x^2+x-6)/((x-2)(x+6))
=((x+3)(x-2))/((x-2)(x+6))
=(x+3)/(x+6)
.
Ed

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