Question

Разложи на множители 1000−10t−t2+t3

Answer 1

$1000-10t-t^2+t^3=t^3+t^2-10t+1000=\\ =(t^3+10^3)+t^2-10t=(t+10)(t^2-10t+100)-(t^2+10t)= \\=(t+10)(t^2-10t+100)-t(t+10)=(t+10)(t^2-10t+100-t)= \\=(t+10)(t^2-11t+100)$