((2x)/(x-1)) - (9/(x-2))

Is the answer (2x^2 - 13x + 9)/(x^2 - 3x + 2), or can it be simplified further?

I got an answer to this question before, but it seems like they did it with 9x instead of 9.

I agree with you.

correct

To simplify the expression ((2x)/(x-1)) - (9/(x-2)), we need to combine the fractions into a single fraction by finding a common denominator. The common denominator will be (x-1)(x-2), as it includes both denominators: (x-1) and (x-2).

Let's begin by multiplying the first fraction, ((2x)/(x-1)), by (x-2)/(x-2). This will eliminate the fraction in the denominator:

((2x)/(x-1)) * (x-2)/(x-2) = (2x(x-2))/((x-1)(x-2))

Next, let's multiply the second fraction, (9/(x-2)), by (x-1)/(x-1). This will eliminate the fraction in the denominator:

(9/(x-2)) * (x-1)/(x-1) = (9(x-1))/((x-1)(x-2))

Now, we can subtract the fractions:

((2x(x-2))/((x-1)(x-2))) - ((9(x-1))/((x-1)(x-2)))

To simplify further, we can expand and combine like terms in the numerator:

(2x(x-2) - 9(x-1))/((x-1)(x-2))

Multiplying, we get:

(2x^2 - 4x - 9x + 9)/((x-1)(x-2))

Combining like terms, we have:

(2x^2 - 13x + 9)/((x-1)(x-2))

So, the simplified answer is (2x^2 - 13x + 9)/((x-1)(x-2)).

It seems like the previous answer you encountered might have made a mistake by multiplying 9 by x instead of just 9.