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6n\left(n^{2}-9\right)+7\left(n^{2}-9\right)
Mahia te whakarōpūtanga 6n^{3}-54n+7n^{2}-63=\left(6n^{3}-54n\right)+\left(7n^{2}-63\right), ka whakatauwehea atu 6n i te tuatahi me 7 i te rōpū tuarua.
\left(n^{2}-9\right)\left(6n+7\right)
Whakatauwehea atu te kīanga pātahi n^{2}-9 mā te whakamahi i te āhuatanga tātai tohatoha.
\left(n-3\right)\left(n+3\right)
Whakaarohia te n^{2}-9. Tuhia anō te n^{2}-9 hei n^{2}-3^{2}. Ka taea te rerekētanga o ngā pūrua te whakatauwehe mā te ture: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
\left(n-3\right)\left(n+3\right)\left(6n+7\right)
Me tuhi anō te kīanga whakatauwehe katoa.