Question 151982MathematicsJAMB

Simplify 32x−1+(2−x)(x−2)\frac{3}{2x-1} + \frac{(2-x)}{(x-2)}

A

2−x(2x−1)(x−2)\frac{2-x}{(2x-1)(x-2)}

B

(5−x)(2x−1)(x−2)\frac{(5-x)}{(2x-1)(x-2)}

C

4−2x(2x−1)\frac{4-2x}{(2x-1)}

D

2(1−x)(x−2)\frac{2(1-x)}{(x-2)}

Step-by-Step Explanation

To simplify the expression, find a common denominator, which is the product of the individual denominators, (2x−1)(x−2)(2x-1)(x-2). Rewrite each fraction with this common denominator and combine the numerators accordingly. After simplifying the resulting expression, it can be expressed in a more concise form, leading to the final simplified result.

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