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2\left(4x^{4}+3x^{2}-1\right)
Tauwehea te 2.
\left(4x^{2}-1\right)\left(x^{2}+1\right)
Whakaarohia te 4x^{4}+3x^{2}-1. Kimihia he tauwehe o te āhua kx^{m}+n, e wehea ai e kx^{m} te huatahi me te pū nui rawa 4x^{4}, e wehea hoki e n te tauwehe pūmau -1. Ko tētahi tauwehe pērā ko 4x^{2}-1. Whakatauwehea te pūrau mā te whakawehe ki tēnei tauwehe.
\left(2x-1\right)\left(2x+1\right)
Whakaarohia te 4x^{2}-1. Tuhia anō te 4x^{2}-1 hei \left(2x\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(2x-1\right)\left(2x+1\right)\left(x^{2}+1\right)
Me tuhi anō te kīanga whakatauwehe katoa. Kāore te pūrau x^{2}+1 i whakatauwehea i te mea kāhore ōna pūtake whakahau.