We need to factor the following polynomial:
[tex]9m^2-49[/tex]We can see that:
[tex]9m^2=3^2m^2=(3m)^2[/tex]And
[tex]49=7^2[/tex]Then, we can use the following factor rule:
[tex]x^2-y^2=(x-y)(x+y)[/tex]We have that:
[tex]x=3m,y=7[/tex]Then, we can factor the polynomial as follows:
[tex]9m^2-49=(3m)^2-(7)^2=(3m-7)(3m+7)[/tex]In summary, we have:
[tex]9m^2-49=(3m-7)(3m+7)[/tex]