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Tohaina

\frac{x^{4}-4x^{3}-4x^{2}+16x}{4}
Tauwehea te \frac{1}{4}.
x\left(x^{3}-4x^{2}-4x+16\right)
Whakaarohia te x^{4}-4x^{3}-4x^{2}+16x. Tauwehea te x.
x^{2}\left(x-4\right)-4\left(x-4\right)
Whakaarohia te x^{3}-4x^{2}-4x+16. Mahia te whakarōpūtanga x^{3}-4x^{2}-4x+16=\left(x^{3}-4x^{2}\right)+\left(-4x+16\right), ka whakatauwehea atu x^{2} i te tuatahi me -4 i te rōpū tuarua.
\left(x-4\right)\left(x^{2}-4\right)
Whakatauwehea atu te kīanga pātahi x-4 mā te whakamahi i te āhuatanga tātai tohatoha.
\left(x-2\right)\left(x+2\right)
Whakaarohia te x^{2}-4. Tuhia anō te x^{2}-4 hei x^{2}-2^{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{x\left(x-4\right)\left(x-2\right)\left(x+2\right)}{4}
Me tuhi anō te kīanga whakatauwehe katoa.