A) \[4{{x}^{4}}-2{{x}^{3}}-4x+11\]
B) \[4{{x}^{4}}-2{{x}^{3}}+27{{x}^{2}}+4x+11\]
C) \[4{{x}^{4}}+27{{x}^{2}}+4x-11\]
D) \[4{{x}^{4}}+2{{x}^{3}}+27{{x}^{2}}+4x+11\]
Correct Answer: B
Solution :
Area of rectangular field \[=(2{{x}^{3}}-11{{x}^{2}}-4x+5)sq.\]units Side of square field \[=(2{{x}^{2}}+4)\]units \[\therefore \]Areal of square field \[={{(2{{x}^{2}}+4)}^{2}}\] \[=(4{{x}^{4}}+16+16{{x}^{2}})\,sq.\,\]units \[\therefore \]Required difference \[=4{{x}^{4}}+16+16{{x}^{2}}-2{{x}^{3}}+11{{x}^{2}}+4x-5\] \[=(4{{x}^{4}}-2{{x}^{3}}+27{{x}^{2}}+4x+11)\,sq.\]units
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