26 feb 2020

325. La expresión ${{\left( z-y \right)}^{2}}-{{\left( z+y \right)}^{2}}$ es igual a
a) 0
b) $-2{{y}^{2}}$
c) $-4yz$


Operando:

${{\left( z-y \right)}^{2}}-{{\left( z+y \right)}^{2}}\ \ =\ \ \left( {{z}^{2}}-2zy+{{y}^{2}} \right)-\left( {{z}^{2}}+2zy+{{y}^{2}} \right)\ \ =$


$=\ \ {{z}^{2}}-2zy+{{y}^{2}}-{{z}^{2}}-2zy-{{y}^{2}}\ \ =\ \ -4zy$

No hay comentarios:

Tu opinión importa, deja un comentario o anota tus dudas