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simplify: \\(\frac{-9p^3 + 21p^2}{3}\\)
Step1: Split the fraction
We can split the given fraction \(\frac{-9p^{3}+21p^{2}}{3}\) into two separate fractions: \(\frac{-9p^{3}}{3}+\frac{21p^{2}}{3}\)
Step2: Simplify each fraction
For the first fraction \(\frac{-9p^{3}}{3}\), divide \(-9\) by \(3\) to get \(-3\), so it simplifies to \(-3p^{3}\). For the second fraction \(\frac{21p^{2}}{3}\), divide \(21\) by \(3\) to get \(7\), so it simplifies to \(7p^{2}\).
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\(-3p^{3} + 7p^{2}\)