Ejercicios

Polinomios

${\color{blue} \left ( x+y \right )^{1}}$	${\color{blue} =\; x+y}$
${\color{green} \left ( x+y \right )^{2}}$	${\color{green} =\; x^{2}+2xy+y^{2}}$
${\color{blue} \left ( x-y \right )^{2}}$	${\color{blue} =\; x^{2}-2xy+y^{2}}$
${\color{red} \left ( x+y \right )^{3}}$	${\color{red} =\; x^{3}+3x^{2}y+3xy^{2}+y^{3}}$
${\color{blue} \left ( x-y \right )^{3}}$	${\color{blue} =\; x^{3}-3x^{2}y+3xy^{2}-y^{3}}$
$\left ( x+y \right )^{4}$	$=\; x^{4}+4x^{3}y+6x^{2}y^{2}+4xy^{3}+y^{4}$
${\color{red} \left ( x-y \right )^{4}}$	${\color{red} =\; x^{4}-4x^{3}y+6x^{2}y^{2}-4xy^{3}+y^{4}}$
${\color{blue} \left ( x+y \right )\left ( x-y \right )\; =}$	${\color{blue} \; x^{2}-y^{2}}$