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2x\left(x^{2}-9\right)-y\left(x^{2}-9\right)
Mahia te whakarōpūtanga 2x^{3}-18x-x^{2}y+9y=\left(2x^{3}-18x\right)+\left(-x^{2}y+9y\right), ka whakatauwehea atu 2x i te tuatahi me -y i te rōpū tuarua.
\left(x^{2}-9\right)\left(2x-y\right)
Whakatauwehea atu te kīanga pātahi x^{2}-9 mā te whakamahi i te āhuatanga tātai tohatoha.
\left(x-3\right)\left(x+3\right)
Whakaarohia te x^{2}-9. Tuhia anō te x^{2}-9 hei x^{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(x-3\right)\left(x+3\right)\left(2x-y\right)
Me tuhi anō te kīanga whakatauwehe katoa.