A) \[({{x}^{2}}+5-3x)({{x}^{2}}+5x-3)\]
B) \[({{x}^{2}}+5-3x)({{x}^{2}}+5+3x)\]
C) \[({{x}^{2}}+5-3x)({{x}^{2}}+5-3x)\]
D) None of the above
Correct Answer: B
Solution :
\[{{x}^{4}}+{{x}^{2}}+25=({{x}^{4}}+25)+{{x}^{2}}\] \[=({{x}^{4}}+25+10{{x}^{2}})-10{{x}^{2}}+{{x}^{2}}\] \[=({{x}^{4}}+25+10{{x}^{2}})-9{{x}^{2}}\] \[=({{x}^{2}}+{{5}^{2}})-{{(3x)}^{2}}\] \[=({{x}^{2}}+5-3x)({{x}^{2}}+5+3x)\]
You need to login to perform this action.
You will be redirected in
3 sec
