Factorize:

125x3-27y3-225x2y+125xy2


Given,


125x3-27y3-225x2y+125xy2,


= (5x)3 – (3y)3 – 45xy (5x – 3y)


= (5x)3 – (3y)3 – 3×5x×3y (5x – 3y)


= (5x – 3y)3


= (5x – 3y) (5x – 3y) (5x – 3y)


2
1