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