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\left(2x+1\right)\left(x^{2}+2x+1\right)
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 1, ā, ka wehea e q te whakarea arahanga 2. Ko tetahi pūtake pērā ko -\frac{1}{2}. Tauwehea te pūrau mā te whakawehe mā te 2x+1.
\left(x+1\right)^{2}
Whakaarohia te x^{2}+2x+1. Whakamahia te tikanga tātai pūrua pā, a^{2}+2ab+b^{2}=\left(a+b\right)^{2}, ina a=x, ina b=1.
\left(2x+1\right)\left(x+1\right)^{2}
Me tuhi anō te kīanga whakatauwehe katoa.