vhagav
vhagav vhagav
  • 14-09-2017
  • Mathematics
contestada

factor this binomial r^3s^3-t^6

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altavistard
altavistard altavistard
  • 18-09-2017
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]
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