Question

factorize: 125x^3+27y^3

Answer 1

125x^3 + 27y^3
=(5x)^3 + (3y)^3.
using a^3 + b^3 = (a+b)(a^2 + b^2 -ab).
(5x + 3y)(25x^2 + 9y^2 - 15xy).

Answer 2

Answer : ( 5x + 3y ) ( 25x^2 - 15xy + 9y^2 )

Step-by-step explanation:

using the identity a^3 + b^3 = ( a+b ) ( a^2 - ab + b^2 )

(5x)^3 + (3y) ^3

(5x + 3y) ( (5x)^2 - 5x × 3y + (3y) ^2 )

(5x + 3y) ( 25x^2 - 15xy + 9y^2 )

hence,

125x^3 + 27y^3 = ( 5x + 3y ) ( 25x^2 - 15xy + 9y^2 )