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Tauwehe
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Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

a\left(1-aa^{3}\right)
Tauwehea te a.
\left(1+a^{2}\right)\left(1-a^{2}\right)
Whakaarohia te 1-a^{4}. Tuhia anō te 1-a^{4} hei 1^{2}-\left(-a^{2}\right)^{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^{2}+1\right)\left(-a^{2}+1\right)
Whakaraupapatia anō ngā kīanga tau.
\left(1-a\right)\left(1+a\right)
Whakaarohia te -a^{2}+1. Tuhia anō te -a^{2}+1 hei 1^{2}-a^{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)
Whakaraupapatia anō ngā kīanga tau.
a\left(a^{2}+1\right)\left(-a+1\right)\left(a+1\right)
Me tuhi anō te kīanga whakatauwehe katoa. Kāore te pūrau a^{2}+1 i whakatauwehea i te mea kāhore ōna pūtake whakahau.
a-a^{5}
Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 2 me te 3 kia riro ai te 5.