Factor 16x3 250y3 Factor 16x3 250y3Solution16x3 250 y3

Solution

16x^3 - 250 y^3

2 ( 8x^3 - 125y^3 )

applying difference of cubes formula on 8x^3 - 125y^3

(2x)^3 - (5y)^3 = ( 2x - 5y ) ( 2^2 x^2 + 2*5 xy + 5^2 y^2 )

= (2x - 5y ) ( 4x^2 + 10xy + 25y^2 )

final factors are 2 (2x - 5y ) ( 4x^2 + 10xy + 25y^2 )