Question

Factor 256x^3 - 500y^3

Answer 1

(256 • (x3) - ( 2^2• 5^3 y^3)
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2^8 x^3 - ( 2^2 • 5^3 y^3)
  
 256x^3 - 500y^3  =   4 • (64x^3 - 125y^3) 

 64x^3 - 125y^3
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final factoization: 

(4x - 5y)  •  (16x^2 + 20xy + 25y^2)