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Tauwehe
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Tohaina

a\left(a^{4}-1\right)
Tauwehea te a.
\left(a^{2}-1\right)\left(a^{2}+1\right)
Whakaarohia te a^{4}-1. Tuhia anō te a^{4}-1 hei \left(a^{2}\right)^{2}-1^{2}. Ka taea te rerekētanga o ngā pūrua te whakatauwehe mā te ture: p^{2}-q^{2}=\left(p-q\right)\left(p+q\right).
\left(a-1\right)\left(a+1\right)
Whakaarohia te a^{2}-1. Tuhia anō te a^{2}-1 hei a^{2}-1^{2}. Ka taea te rerekētanga o ngā pūrua te whakatauwehe mā te ture: p^{2}-q^{2}=\left(p-q\right)\left(p+q\right).
a\left(a-1\right)\left(a+1\right)\left(a^{2}+1\right)
Me tuhi anō te kīanga whakatauwehe katoa. Kāore te pūrau a^{2}+1 i whakatauwehea i te mea kāhore ōna pūtake whakahau.