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Tohaina

\frac{49-100x^{4}}{1225}
Tauwehea te \frac{1}{1225}.
\left(7-10x^{2}\right)\left(7+10x^{2}\right)
Whakaarohia te 49-100x^{4}. Tuhia anō te 49-100x^{4} hei 7^{2}-\left(10x^{2}\right)^{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(-10x^{2}+7\right)\left(10x^{2}+7\right)
Whakaraupapatia anō ngā kīanga tau.
\frac{\left(-10x^{2}+7\right)\left(10x^{2}+7\right)}{1225}
Me tuhi anō te kīanga whakatauwehe katoa. Kāore i tauwehea ēnei pūrau i te mea kāhore ō rātou pūtake whakahau: -10x^{2}+7,10x^{2}+7.