13.0k views
4 votes
Factor this binomial r^3s^3-t^6

User Catarina
by
7.0k points

1 Answer

4 votes
r^3S^3 IS THE SAME AS (rs)^3. Similarly, t^6 is the same as (t^2)^3. Therefore, the given binomial is the difference of two cubes. Using the "difference of two cubes" formula,

r^3s^3-t^6 becomes (rs)^3 - (t^2)^3 = (rs - t^2) - [(rs)^2 + rst^2 + (t^2)^2]
User Dij
by
8.0k points