객관식
Evaluate the rational expression below at
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8. Rational Expressions and Equations
Simplifying Rational Expressions
객관식
Simplify the rational expressions below:
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검증된 단계별 안내1
Start by factoring both the numerator and the denominator of the rational expression \(\frac{x^2 - 9}{x^2 - 3x}\).
Recognize that the numerator \(x^2 - 9\) is a difference of squares, which factors as \(\left(x - 3\right)\left(x + 3\right)\).
Factor the denominator \(x^2 - 3x\) by taking out the common factor \(x\), giving \(x\left(x - 3\right)\).
Rewrite the expression using the factored forms: \(\frac{\left(x - 3\right)\left(x + 3\right)}{x\left(x - 3\right)}\).
Cancel the common factor \(\left(x - 3\right)\) from numerator and denominator, leaving \(\frac{x + 3}{x}\) as the simplified expression.
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