Simplify, stating any restrictions on the variables: x+1/2x^2-7x+6 - x-3/2x^2-x-3

4 answers

assuming the usual carelessness with parentheses, I get
(x+1)/(2x^2-7x+6) - (x-3)/(2x^2-x-3)
= (x+1)/((x-2)(2x-3)) - (x-3)/((x+1)(2x-3))
Since division by zero is undefined, x=2, 3/2, -1 are excluded from the domain.
Combining over a common denominator yields
= ((x+1)^2 - (x-3)(x-2))/((x-2)(x+1)(2x-3))
= (7x-5)/((x-2)(x+1)(2x-3))
The three excluded values are still evident.
@ooblect are there any restrictions?
@oobleck
yes. I said which real numbers are excluded from the domain.
Uhhh .. those are restrictions, right?
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