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Tohaina

\left(x-y\right)\left(x^{4}+x^{2}y^{2}+xy^{3}+y^{4}+yx^{3}\right)
Whakaarohia te x^{5}-y^{5} hei pūrau ki runga i te taurangi x. Kimihia he tauwehe o te āhua x^{k}+m, e wehea ai e x^{k} te huatahi me te pū nui rawa x^{5}, e wehea hoki e m te tauwehe pūmau -y^{5}. Ko tētahi tauwehe pērā ko x-y. Whakatauwehea te pūrau mā te whakawehe ki tēnei tauwehe.