Question

factorise:8xcube+125ycube

Answer 1

$8 {x}^{3} + 125 {y}^{3} \\ = {(2y)}^{3} + ( {5y)}^{3}$
Using identity....
${x}^{3} + {y}^{3} \\ = (x + y)( {x}^{2} - xy + {y}^{2} )$
We get...............
= $(2x + 5y)(4x - 20 {x}^{2} {y}^{2} + 25 {y}^{2}$