A) \[4{{x}^{2}}-3{{y}^{2}}-xy\]
B) \[2{{x}^{2}}-5{{y}^{2}}+xy+40\]
C) \[3{{y}^{2}}-xy-4{{x}^{2}}\]
D) \[4{{x}^{2}}+3{{y}^{2}}+xy\]
Correct Answer: A
Solution :
Required expression \[=(3{{x}^{2}}-4{{y}^{2}}+5xy+20)-(-{{x}^{2}}-{{y}^{2}}+6xy+20)\]\[=3{{x}^{2}}-4{{y}^{2}}+5xy+20+{{x}^{2}}+{{y}^{2}}-6xy-20\] \[=4{{x}^{2}}-3{{y}^{2}}-xy\]
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