A) \[{{x}^{2}}+{{y}^{2}}-{{x}^{2}}{{y}^{2}}\]
B) \[{{x}^{2}}{{y}^{2}}-\left( {{x}^{2}}+{{y}^{2}} \right)\]
C) \[{{(x+y)}^{2}}-{{x}^{2}}{{y}^{2}}\]
D) \[{{x}^{2}}{{y}^{2}}-{{(x+y)}^{2}}\]
Correct Answer: C
Solution :
(c) Square of sum\[={{(x+y)}^{2}}\] Square of product\[={{(xy)}^{2}}={{x}^{2}}{{y}^{2}}\] \[\Rightarrow \]\[{{(x+y)}^{2}}-{{x}^{2}}{{y}^{2}}\]
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