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a^{2}\left(4a-b\right)-9\left(4a-b\right)
Mahia te whakarōpūtanga 4a^{3}-a^{2}b-36a+9b=\left(4a^{3}-a^{2}b\right)+\left(-36a+9b\right), ka whakatauwehea atu a^{2} i te tuatahi me -9 i te rōpū tuarua.
\left(4a-b\right)\left(a^{2}-9\right)
Whakatauwehea atu te kīanga pātahi 4a-b mā te whakamahi i te āhuatanga tātai tohatoha.
\left(a-3\right)\left(a+3\right)
Whakaarohia te a^{2}-9. Tuhia anō te a^{2}-9 hei a^{2}-3^{2}. Ka taea te rerekētanga o ngā pūrua te whakatauwehe mā te ture: p^{2}-q^{2}=\left(p-q\right)\left(p+q\right).
\left(a-3\right)\left(a+3\right)\left(4a-b\right)
Me tuhi anō te kīanga whakatauwehe katoa.