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y^{2}\left(y-5\right)-\left(y-5\right)
Mahia te whakarōpūtanga y^{3}-5y^{2}-y+5=\left(y^{3}-5y^{2}\right)+\left(-y+5\right), ka whakatauwehea atu y^{2} i te tuatahi me -1 i te rōpū tuarua.
\left(y-5\right)\left(y^{2}-1\right)
Whakatauwehea atu te kīanga pātahi y-5 mā te whakamahi i te āhuatanga tātai tohatoha.
\left(y-1\right)\left(y+1\right)
Whakaarohia te y^{2}-1. Tuhia anō te y^{2}-1 hei y^{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).
\left(y-5\right)\left(y-1\right)\left(y+1\right)
Me tuhi anō te kīanga whakatauwehe katoa.