A) \[(a-1)(a+1)(3a-7)\]
B) \[(a-1)(3a-7)(2a-3)\]
C) \[(a-1)(3a+7)(2a-3)\]
D) \[(a-1)(3a-7)(2a+3)\]
Correct Answer: C
Solution :
Let expression are X and Y, then \[X+Y\,=5{{a}^{2}}-a-4\] \[X-Y={{a}^{2}}+9a-10\] \[\therefore \,\,\,\] \[X=\frac{1}{2}(6{{a}^{2}}+8a-14)\] \[=3{{a}^{2}}+4a-7\] \[=(a-1)(3a+7)\] and \[Y=\frac{1}{2}(4{{a}^{2}}-10a+6)\] \[=2{{a}^{2}}-5a+3=(a-1)(2a-3)\] \[\therefore \] LCM of X and Y \[=(a-1)(3a+7)(2a-3)\]You need to login to perform this action.
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