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Tohaina

\frac{100x^{2}-100xy+25y^{2}-1}{25}
Tauwehea te \frac{1}{25}.
\left(10x-5y-1\right)\left(10x-5y+1\right)
Whakaarohia te 100x^{2}-100xy+25y^{2}-1. Tuhia anō te 100x^{2}-100xy+25y^{2}-1 hei \left(10x-5y\right)^{2}-1^{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).
\frac{\left(10x-5y-1\right)\left(10x-5y+1\right)}{25}
Me tuhi anō te kīanga whakatauwehe katoa.