Question

{24√3x^3}-{125y^3}=?

Answer 1

Q: 24√3 x^3 - 125y^3

=( 2√3x )^3 - (5y )^3

use identiy:

a^3 - b^3 = (a - b ) ( a^2 + ab + b^2 )

here , a = 2√3 x , b = 5y

therefore ,

(2√3x )^3 - (5y)^3=

(2√3x-5y)

{(2√3x)^2+(2√3x)(5y)+(5y)^2 }

=(2√3x - 5y) ( 12x^2 + 10√3xy + 25y^2 )