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is 27y6+512z427y^6+512z^4 a sum of two cubes

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Composition of linear and quadratic functions: find a valueright chevron icon

Full solution

Q. is 27y6+512z427y^6+512z^4 a sum of two cubes
  1. Check Cube of 27y627y^6: Check if 27y627y^6 is a cube.\newline27y6=(3y2)327y^6 = (3y^2)^3
  2. Check Cube of 512z4512z^4: Check if 512z4512z^4 is a cube.\newline512z4512z^4 is not a cube because 512512 is a cube (838^3) but z4z^4 is not a cube.

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