Question

(2x+5)cube-(2x-5)cube. please solve this question​

Answer 1

Answer:

-( 250y^3 + 120x^2y )

Step-by-step explanation:

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

= 8x^3 - 125y^3 - 3( 2x )( 5y )( 2x - 5y ) - [ 8x^3 + 125y^3 + 3( 2x )( 5y )( 2x + 5y )]

= 8x^3 - 125y^3 - 30xy( 2x - 5y ) - 8x^3 - 125y^3 - 30xy( 2x + 5y )

= 8x^3 - 125y^3 - 60x^2y - 150xy^2 - 8x^3 - 125y^3 - 60x^2y - 150xy^2

= -250y^3 - 60x^2y + 150xy^2 - 60x^2y - 150xy^2

= -250y^3 - 120x^2y

=  -( 250y^3 + 120x^2y )