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