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\left(10x+1\right)\left(100x^{2}-10x+1\right)
Tuhia anō te 1+1000x^{3} hei \left(10x\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 te pūrau 100x^{2}-10x+1 i whakatauwehea i te mea kāhore ōna pūtake whakahau.