Problem 61
Question
Simplify each rational expression. If the rational expression cannot be simplified, so state. $$\frac{2 x-3}{3-2 x}$$
Step-by-Step Solution
Verified Answer
The simplified rational expression is -1.
1Step 1: Observe and Re-write
First, observe the expression \(\frac{2x-3}{3-2x}\). It is noticed that if you factor out -1 from the denominator we see that the two expressions are negatives of each other. Thus, rewrite the expression as \(\frac{2x-3}{-(2x-3)}\).
2Step 2: Cancel Common Terms
In this step, cancel the common terms in the numerator and the denominator. Since both the numerator and the denominator are the same, except for the negative sign, the entire expression reduces to -1.
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