A) \[{{({{x}^{2}}+5)}^{2}}-{{(3x)}^{2}}\]
B) \[{{({{x}^{2}}+5)}^{2}}+{{(3x)}^{2}}\]
C) \[({{x}^{2}}-5)-{{(3x)}^{2}}\]
D) \[{{({{x}^{2}}+5)}^{2}}+{{(6x)}^{2}}\]
Correct Answer: A
Solution :
\[({{x}^{2}}+3x+5)({{x}^{2}}-3x+5)=[({{x}^{2}}+5)+3x]\]\[[({{x}^{2}}+5)-3x]\] \[={{({{x}^{2}}+5)}^{2}}-{{(3x)}^{2}}\]\[[\because (a-b)(a+b)={{a}^{2}}-{{b}^{2}}]\]
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