To simplify the fraction \(\frac{4x^2 - 12x + 24}{4x}\), we can start by factoring the numerator:
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Factor out the greatest common factor (GCF) from the numerator \(4x^2 - 12x + 24\): \[ 4(x^2 - 3x + 6) \]
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This gives us the fraction: \[ \frac{4(x^2 - 3x + 6)}{4x} \]
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Now, we can cancel the common factor of 4 from the numerator and denominator: \[ \frac{x^2 - 3x + 6}{x} \]
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We can split this into two separate fractions: \[ \frac{x^2}{x} - \frac{3x}{x} + \frac{6}{x} \]
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Simplifying each term: \[ x - 3 + \frac{6}{x} \]
So, the expression in standard form is: \[ x - 3 + \frac{6}{x} \]
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