A) \[(m-21\,\,n)(m-4\,\,n)\]
B) \[(m+21\,\,n)(m-4\,\,n)\]
C) \[(m+n)(14\,\,m-2\,\,n)\]
D) None of the above
Correct Answer: B
Solution :
\[{{m}^{2}}+17mn-84{{n}^{2}}={{m}^{2}}+21\,\,mn-4\,\,mn-84\,\,{{n}^{2}}\] \[=m\,\,(m+21\,\,n)-4\,\,n(m+21\,\,n)\] \[=(m+21\,\,n)(m-4\,\,n)\]
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