Question

How do you use the difference of two squares formula to factor `6m^2-150`?

Answer 1

`6m^2-150 = 6(m^2-25) = 6(m^2-5^2)`

`= 6(m-5)(m+5)`

since `(m^2-5^2)` is of the form `(a^2 - b^2)` with `a=m`, `b=5`

and

`(a^2-b^2) = (a-b)(a+b)`