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Divide. \( \frac{9 x^{9}-24 x^{6}}{3 x^{3}} \)

Ask by Norris Lane. in the United States
Jan 21,2025

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\( 3x^{6} - 8x^{3} \)

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To divide the expression \( \frac{9 x^{9}-24 x^{6}}{3 x^{3}} \), we can start by separating the two terms in the numerator: \[ \frac{9 x^{9}}{3 x^{3}} - \frac{24 x^{6}}{3 x^{3}} \] Now, simplifying each term: 1. For the first term: \[ \frac{9 x^{9}}{3 x^{3}} = 3 x^{6} \] 2. For the second term: \[ \frac{24 x^{6}}{3 x^{3}} = 8 x^{3} \] Combining both results gives us: \[ 3 x^{6} - 8 x^{3} \] So, the final simplified result of the expression is: \[ 3 x^{6} - 8 x^{3} \]

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