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