Respuesta :

Based on the given term above, the greatest common factor for it would be the second and the fourth option. So for 5m^2n^2, its greatest common factors would be 5m^4n^3 and 15m^2n^2. Hope this is the answer that you are looking for. Have a great day!

Answer : [tex] 5m^4n^3[/tex]  and [tex] 15m^2n^2[/tex]

Greatest common factor of  [tex] 5m^2n^2 [/tex]

If we are able to factor out [tex] 5m^2n^2 [/tex] from each option then that would be our answer.

Lets check with each options

(a)[tex] m^5n^5 [/tex], we cannot take out 5.

(b)[tex] 5m^4n^3 [/tex], We can take out common factor and it can be written as [tex] 5m^4n^3=5m^2n^2(m^2n) [/tex]

(c) [tex] 10m^4n [/tex], we cannot take out n^2 because we have only 'n'

(d) [tex] 15m^2n^2[/tex], We can take out common factor and it can be written as [tex] 15m^2n^2=5m^2n^2(3) [/tex]

(e) [tex] 24m^3n^4 [/tex], we  cannot take out 5 because we have 24

So answer is (b)  and (d)