A) \[33({{a}^{3}}-{{b}^{3}})({{a}^{2}}+{{b}^{2}})(a+b)\]
B) \[({{a}^{3}}-{{b}^{3}})({{a}^{2}}+{{b}^{2}})(a-b)\]
C) \[33(a-b)({{a}^{2}}+{{b}^{2}}-ab)({{a}^{3}}-{{b}^{3}})\]
D) \[33({{a}^{3}}-{{b}^{3}})({{a}^{4}}-{{b}^{4}})\]
Correct Answer: A
Solution :
Now, \[3({{a}^{3}}-{{b}^{3}})=3(a-b)({{a}^{2}}+{{b}^{2}}+ab)\] and \[11({{a}^{4}}-{{b}^{4}})=11(a-b)(a+b)({{a}^{2}}+{{b}^{2}})\] \[\therefore \] Required LCM \[=33({{a}^{3}}-{{b}^{3}})(a+b)({{a}^{2}}+{{b}^{2}})\]You need to login to perform this action.
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