Question

factorise 8m^3-125n^3

Answer 1

Factorization:

$= 8 {m}^{3} - 125 {n}^{3} \\ = (2m {)}^{3} - (5n {)}^{3} \\ =( 2m - 5n)((2m {)}^{2} + (2m)(5n) + (5n {)}^{2} ) \\ = ( 2m - 5n)(4 {m}^{2} + 10mn + 25 {n}^{2} )$