29 feb 2020

335. La expresión ${{\left( x-a \right)}^{2}}-{{\left( x+a \right)}^{2}}$ es igual a
a) 0
b) $-4ax$
c) $-2{{a}^{2}}$


Operando:

${{\left( x-a \right)}^{2}}-{{\left( x+a \right)}^{2}}\ \ =\ \ \left( {{x}^{2}}-2xa+{{a}^{2}} \right)-\left( {{x}^{2}}+2xa+{{a}^{2}} \right)\ \ =$


$=\ \ {{x}^{2}}-2xa+{{a}^{2}}-{{x}^{2}}-2xa-{{a}^{2}}\ \ =\ \ -4xa\ \ =\ \ -4ax$

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