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Tohaina

x\left(x^{3}-1\right)+x^{3}-1
Mahia te whakarōpūtanga x^{4}-x+x^{3}-1=\left(x^{4}-x\right)+\left(x^{3}-1\right), ka whakatauwehea atu x i te x^{4}-x.
\left(x^{3}-1\right)\left(x+1\right)
Whakatauwehea atu te kīanga pātahi x^{3}-1 mā te whakamahi i te āhuatanga tātai tohatoha.
\left(x-1\right)\left(x^{2}+x+1\right)
Whakaarohia te x^{3}-1. Tuhia anō te x^{3}-1 hei x^{3}-1^{3}. Ka taea te rerekētanga o ngā pūtoru te whakatauwehe mā te whakamahi i te ture: a^{3}-b^{3}=\left(a-b\right)\left(a^{2}+ab+b^{2}\right).
\left(x-1\right)\left(x+1\right)\left(x^{2}+x+1\right)
Me tuhi anō te kīanga whakatauwehe katoa. Kāore te pūrau x^{2}+x+1 i whakatauwehea i te mea kāhore ōna pūtake whakahau.