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3\left(x^{4}-81\right)
Tauwehea te 3.
\left(x^{2}-9\right)\left(x^{2}+9\right)
Whakaarohia te x^{4}-81. Tuhia anō te x^{4}-81 hei \left(x^{2}\right)^{2}-9^{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-3\right)\left(x+3\right)
Whakaarohia te x^{2}-9. Tuhia anō te x^{2}-9 hei x^{2}-3^{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).
3\left(x-3\right)\left(x+3\right)\left(x^{2}+9\right)
Me tuhi anō te kīanga whakatauwehe katoa. Kāore te pūrau x^{2}+9 i whakatauwehea i te mea kāhore ōna pūtake whakahau.