How do you factor 8m³ - 27n³?
1 Answer
Jan 23, 2016
Explanation:
Both of these terms are cubed term:
8m^3=(2m)^3 27n^3=(3n)^3
Because of this, this expression is a difference of cubes.
This is a fairly common pattern that can be factored as
a^3-b^3=(a-b)(a^2+ab+b^2)
Since
8m^3-27n^3
=(2m)^3-(3n)^3
=(2m-3n)((2m)^2+2m(3n)+(3n)^2)
=(2m-3n)(4m^2+6mn+9n^2)