Question

Разложите на множители 125−5*t−t^2+t^3, пожалуйста

Answer 1

$= (125 + { {t}^{3}) - t(5 + t)} = (5 + t)(25 - 5t + {t}^{2} ) - t(5 + t) = (5 + t)(25 - 5t + {t}^{2} - t) = (5 + t)(25 - 6t + {t}^{2} )$

Answer 2

$\mathtt{125-5t-t^2+t^3=t^3+125-t^2-5t=}\\\mathtt{(t+5)(t^2-5t+25)-t(t+5)=(t+5)(t^2-6t+25)}$