Simplify 32x−1 3 2 x − 1 + 2−xx−2

Question 1 Report

Simplify $\frac{3}{2 x - 1}$ + $\frac{2 - x}{x - 2}$

2−x

(2x−1)(x−2)

5−x

(2x−1)(x−2)

4−2x

2x−1

6−3x

(2x−1)(x−2)

Answer Details

$\frac{3}{2 x - 1}$ + $\frac{2 - x}{x - 2}$
= $\frac{3}{2 x - 1}$ - $\frac{x - 2}{x - 2}$
= $\frac{3}{2 x - 1}$ - 1
= $\frac{3 - (2 x - 1)}{2 x - 1}$
= $\frac{3 - 2 x + 1}{2 x - 1}$
= $\frac{4 - 2 x}{2 x - 1}$

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Algebraic Expressions

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