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5x\left(-a^{3}+1\right)+b\left(-a^{3}+1\right)
Mahia te whakarōpūtanga 5x-5a^{3}x+b-a^{3}b=\left(5x-5a^{3}x\right)+\left(b-a^{3}b\right), ka whakatauwehea atu 5x i te tuatahi me b i te rōpū tuarua.
\left(-a^{3}+1\right)\left(5x+b\right)
Whakatauwehea atu te kīanga pātahi -a^{3}+1 mā te whakamahi i te āhuatanga tātai tohatoha.
\left(a-1\right)\left(-a^{2}-a-1\right)
Whakaarohia te -a^{3}+1. Tā te Rational Root Theorem, ko ngā pūtake whakahau katoa o tētahi pūrau kei te āhua o \frac{p}{q}, ina wehea e p te kīanga pūmau 1, ā, ka wehea e q te whakarea arahanga -1. Ko tetahi pūtake pērā ko 1. Tauwehea te pūrau mā te whakawehe mā te a-1.
\left(-a^{2}-a-1\right)\left(a-1\right)\left(5x+b\right)
Me tuhi anō te kīanga whakatauwehe katoa. Kāore te pūrau -a^{2}-a-1 i whakatauwehea i te mea kāhore ōna pūtake whakahau.