Question

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try find the simplified rational expression
\\(\frac{x^2 - 5x + 6}{x^2 + x - 6} = \frac{(x - 2)(x - 3)}{(x - 2)(x + 3)}\\)
the rational expression \\(\frac{x^2 - 5x + 6}{x^2 + x - 6}\\) is factored as shown above. since both the numerator and the denominator contain expression as a factor, we can cancel the identical factors to simplify the expression.
\\(\frac{x^2 - 5x + 6}{x^2 + x - 6}\\) is equivalent to
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explain
how do i multiply and divide rational expressions?
multiplying & dividing rational expressions: monomials

Explanation:

Step1: Identify common factor

The numerator is \((x - 2)(x - 3)\) and the denominator is \((x - 2)(x + 3)\). The common factor is \((x - 2)\).

Step2: Cancel common factor

Cancel out \((x - 2)\) from numerator and denominator: \(\frac{(x - 2)(x - 3)}{(x - 2)(x + 3)}=\frac{x - 3}{x + 3}\) (where \(x
eq2\) to avoid division by zero).

Answer:

\(\frac{x - 3}{x + 3}\)