1. (x + 2y + z). (x + 2y -z)
= [(x + 2y) + z] . [(x + 2y) - z]
= $(x+2y)^{2}$ - $z^{2}$
= $x^{2}$ + 4xy + 4$y^{2}$ - $z^{2}$
2. $x^{3}$ + 3 $x^{2}$ + 3x + 6
= $x^{3}$ + 3 $x^{2}$ + 3x + 1 + 5
= $(x+1)^{3}$ + 5
Tại x = 19, ta có:
= $(19+1)^{3}$ + 5
= $20^{3}$ + 5
= 8 000 + 5
= 8 005
$\color{green}{\text{sakurangoc2007}}$