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x^{2}\left(x-1\right)-\left(x-1\right)
Mahia te whakarōpūtanga x^{3}-x^{2}-x+1=\left(x^{3}-x^{2}\right)+\left(-x+1\right), ka whakatauwehea atu x^{2} i te tuatahi me -1 i te rōpū tuarua.
\left(x-1\right)\left(x^{2}-1\right)
Whakatauwehea atu te kīanga pātahi x-1 mā te whakamahi i te āhuatanga tātai tohatoha.
\left(x-1\right)\left(x+1\right)
Whakaarohia te x^{2}-1. Tuhia anō te x^{2}-1 hei x^{2}-1^{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+1\right)\left(x-1\right)^{2}
Me tuhi anō te kīanga whakatauwehe katoa.