$m^{2} - 5 m - 14$ is an expression. Find out another similar expression such that their H.C.F. is $(m - 7)$ and L.C.M. is $m^{3} - 10 m^{2} + 11 m + 70$ .

m^{2} - 12 m + 35

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m^{2} - 12 m - 35

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m^{2} + 12 m + 35

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m^{2} + 12 m - 35

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Solution

The correct option is A $m^{2} - 12 m + 35$
$Required expression = \frac{H.C.F \times L.C.M}{Given expression}$

$= \frac{(m - 7) \times (m^{3} - 10 m^{2} + 11 m + 70)}{m^{2} - 5 m - 14}$

$= \frac{(m - 7) \times (m^{2} - 5 m + 14) \times (m - 5)}{m^{2} - 5 m - 14}$

$= (m - 7) (m - 5)$

$= m^{2} - 12 m + 35$

Suggest Corrections

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