Answer:
LCM=(m+1)(m-5)(m+7)
Step-by-step explanation:
Given expressions are [tex]m^2-4m-5[/tex] and [tex]m^2+8m+7[/tex].
To find the LCM, first we need to find factors of both expressions.
[tex]m^2-4m-5[/tex]
[tex]=m^2+1m-5m-5[/tex]
[tex]=m(m+1)-5(m+1)[/tex]
[tex]=(m+1)(m-5)[/tex]
Similarly factor other expression
[tex]m^2+8m+7[/tex]
[tex]=(m+1)(m+7)[/tex]
Common factor in both is (m+1)
bring down remaining non-common factors.
So LCM=(m+1)(m-5)(m+7)
