Question

Assume no denominator equals zero.

2x−3/3x​ − 3x​/3x−3
Options:
A) −x²+2x​/x−1
B) x²−2x​/x+1
C) x²−2x​/x−1
D) −x²+2x​/x+1

Answer 1

To simplify the expression (2x-3)/(3x) - 3x/(3x-3), you need to find a common denominator and combine the fractions. The simplified expression is x²-2x/(x-1).

Step-by-step explanation:

To simplify the expression (2x-3)/(3x) - 3x/(3x-3), we need to find a common denominator and combine the fractions.

1. Find the common denominator by multiplying the two denominators: 3x * (3x-3).
2. Multiply the numerator and denominator of the first fraction (2x-3) by (3x-3) to get (2x-3)*(3x-3).
3. Multiply the numerator and denominator of the second fraction (3x) by 3x to get 3x*3x.
4. Combine the fractions by subtracting the second fraction from the first fraction.
5. Simplify the expression if possible.

The simplified expression is x²-2x/(x-1).