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\left(10x^{2}+1\right)\left(100x^{4}-10x^{2}+1\right)
Tuhia anō te 1+1000x^{6} hei \left(10x^{2}\right)^{3}+1^{3}. Ka taea te tapeke pūtoru te whakatauwehe mā te whakamahi i te ture: a^{3}+b^{3}=\left(a+b\right)\left(a^{2}-ab+b^{2}\right). Kāore i tauwehea ēnei pūrau i te mea kāhore ō rātou pūtake whakahau: 100x^{4}-10x^{2}+1,10x^{2}+1.