A) \[{{x}^{2}}-{{y}^{2}}\]
B) \[{{x}^{4}}+{{y}^{4}}\]
C) \[{{x}^{4}}-{{y}^{4}}\]
D) \[{{x}^{2}}+{{y}^{2}}\]
Correct Answer: C
Solution :
\[\left( x-y \right)(x+y)={{x}^{2}}-{{y}^{2}}\] \[\therefore \]\[\left( x-y \right)\left( x+y \right)\left( {{x}^{2}}+{{y}^{2}} \right)=\left( {{x}^{2}}-{{y}^{2}} \right)\left( {{x}^{2}}+{{y}^{2}} \right)\] \[={{x}^{4}}-{{y}^{4}}\]
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