Question

9m^2 - 49factor each expression. Be sure to check for the greatest common factor first.

Answer 1

We need to factor the following polynomial:

`9m^2-49`

We can see that:

`9m^2=3^2m^2=(3m)^2`

And

`49=7^2`

Then, we can use the following factor rule:

`x^2-y^2=(x-y)(x+y)`

We have that:

`x=3m,y=7`

Then, we can factor the polynomial as follows:

`9m^2-49=(3m)^2-(7)^2=(3m-7)(3m+7)`

In summary, we have:

`9m^2-49=(3m-7)(3m+7)`