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8r6 + 27s12 factored
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8 r^6 +27 s^12 = ( 2r^2)^3 + (3s^4) 3 = (Here, we use the sum of two cubes factoring pattern. A link to that appears at the bottom.) (2 r^2 + 3 s^4) (4 r^4 - 6 r^2 s^4 + 9 s^8) http://www.purplemath.com/modules/specfact2.htm
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