SOLUTION: Simplify: (x / 2x^2-7x+3) - ((x-4) / (2x-1)(3-x))

SOLUTION: Simplify: (x / 2x^2-7x+3) - ((x-4) / (2x-1)(3-x)) - (7 / (x^2-x-6))

Question 1189175: Simplify: (x / 2x^2-7x+3) - ((x-4) / (2x-1)(3-x)) - (7 / (x^2-x-6))
Answer by math_tutor2020(3817) (Show Source): You can put this solution on YOUR website!

Let's factor the denominators and do a bit of tidying up.

When focusing on the denominators, the unique factors are: (2x-1), (x-3), (x+2)
The LCD is therefore (2x-1)(x-3)(x+2)
Let's get each denominator to be equal to the LCD. That way we can add the fractions.

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Answer: The original expression simplifies fully to

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