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Tohaina

\frac{x^{3}-12x+16}{2}
Tauwehea te \frac{1}{2}.
\left(x+4\right)\left(x^{2}-4x+4\right)
Whakaarohia te x^{3}-12x+16. Tā te Rational Root Theorem, ko ngā pūtake whakahau katoa o tētahi pūrau kei te āhua o \frac{p}{q}, ina wehea e p te kīanga pūmau 16, ā, ka wehea e q te whakarea arahanga 1. Ko tetahi pūtake pērā ko -4. Tauwehea te pūrau mā te whakawehe mā te x+4.
\left(x-2\right)^{2}
Whakaarohia te x^{2}-4x+4. Whakamahia te tikanga tātai pūrua pā, a^{2}-2ab+b^{2}=\left(a-b\right)^{2}, ina a=x, ina b=2.
\frac{\left(x+4\right)\left(x-2\right)^{2}}{2}
Me tuhi anō te kīanga whakatauwehe katoa.