SOLUTION: I was asked to simplify this problem. I have no idea where to start. 4x^2-13x+3 / 8x^2-2x * 6x^2+6x / x^2-6x+9 Thank you Tammy Bolton

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Question 132474: I was asked to simplify this problem. I have no idea where to start.
4x^2-13x+3 / 8x^2-2x * 6x^2+6x / x^2-6x+9
Thank you
Tammy Bolton

Found 2 solutions by jim_thompson5910, TakeATuition.com:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given expression

Factor to get

Factor to get

Factor to get

Factor to get


Combine the fractions


Cancel like terms

Simplify

Reduce to get



----------------------------------------------------

Answer:

So simplifies to



Answer by TakeATuition.com(57)   (Show Source): You can put this solution on YOUR website!
4x^2-13x+3 / 8x^2-2x * 6x^2+6x / x^2-6x+9
= 4x^2-12x-x+3 / 2x(4x-1) * 6x(x+1) / x^2-3x-3x+9
= 4x(x-3)-1(x-3) /2x(4x-1) * 6x(x+1) / x(x-3)-3
= (4x-1)(x-3) / 2x(4x-1) * 6x(x+1) / (x-3)(x-3)
= 3(x-1)/(x-3)

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