SOLUTION: 2x+1 over (x^2-2x) + 3-x over (5x^2-20) Adding and Subtracting rational expressions. Denominators are in ()

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here is the original problem:

step 1 - factor the denominators to get

notice we have a difference of squares still, so we continue factoring as

step 2 - the common denominator is 5x(x+2)(x-2). we change the numerators and get a common denominator as

step 3 - expand the numerators to get

step 4 - combine like terms to get