Question

How do you factor `100m^8 - 9`?

Answer 1

This fits the form of the difference of squares.

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

`100m^8-9=(10m^4)^2-3^2`

`a=10m`
`b=3`

`100m^8-9=(10m^4-3)(10m^4+3)`