A) \[{{x}^{2}}-3x\]
B) \[3x\]
C) \[{{x}^{2}}+5\]
D) Both (a) and (b)
Correct Answer: C
Solution :
We have, \[({{x}^{2}}+3x+5)({{x}^{2}}-3x+5)={{m}^{2}}-{{n}^{2}}\] \[\Rightarrow ({{x}^{2}}+5+3x)({{x}^{2}}+5-3x)={{m}^{2}}-{{n}^{2}}\] \[\Rightarrow {{({{x}^{2}}+5)}^{2}}-{{(3x)}^{2}}={{m}^{2}}-{{n}^{2}}\] \[\Rightarrow {{m}^{2}}={{({{x}^{2}}+5)}^{2}}\Rightarrow m={{x}^{2}}+5\]
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