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:

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