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Tohaina

x^{2}\left(x^{4}+2x^{3}-2x-1\right)
Tauwehea te x^{2}.
\left(x^{2}-1\right)\left(x^{2}+2x+1\right)
Whakaarohia te x^{4}+2x^{3}-2x-1. Kimihia he tauwehe o te āhua x^{k}+m, e wehea ai e x^{k} te huatahi me te pū nui rawa x^{4}, e wehea hoki e m te tauwehe pūmau -1. Ko tētahi tauwehe pērā ko x^{2}-1. Whakatauwehea te pūrau mā te whakawehe ki tēnei tauwehe.
\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)^{2}
Whakaarohia te x^{2}+2x+1. Whakamahia te tikanga tātai pūrua pā, a^{2}+2ab+b^{2}=\left(a+b\right)^{2}, ina a=x, ina b=1.
x^{2}\left(x-1\right)\left(x+1\right)^{3}
Me tuhi anō te kīanga whakatauwehe katoa.