Question

Factorise 512m^3+8n^3​

Answer 1

= 512m³ + 8n³

= (8m)³ + (2n)³

As this is in the form of a³ + b³ = (a-b)(a² + b² + ab)

= (8m - 2n)(64m² + 4n² + 16mn)

Answer 2

Questions

$\red{Q.1 \: Factorise \: 512m^3+8n^3}$

solution

$\red \longrightarrow{=512m^ 3 +8n^ 3;}$

$\pink \longrightarrow{ =(8m)^3 +(2n)^3 .}$

$As \: this \: is \: in \: the \: form \: of \: \\ \blue{a^3 +b^3 =(a-b)(a^ 2 +; b^ 2 +ab);}</p><p>$

${ \boxed{ \green{ =(8m-2n)(64m^ 2 +4n^ 2 +16mn)}}}$