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Consider this expression. [3/(x-2)]/[(x-2)/(x^2-4x 4)] The simplest form of the expression has in the numerator and in the denominator

Respuesta :

To simplify the given expression \(\frac{3}{(x-2)}\div\frac{(x-2)}{(x^2-4x+4)}\), we can follow these steps:

Step 1: Invert the second fraction and change the division to multiplication:
\(\frac{3}{(x-2)}\cdot\frac{(x^2-4x+4)}{(x-2)}\)

Step 2: Simplify the numerator and denominator separately:
Numerator: \(3\)
Denominator: \((x-2)\)

The simplest form of the expression is \(\frac{3}{(x-2)}\).

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