Question

Hey!!

factorise 216m^3-27n^3

Answer 1

$\bold {\huge{Ello!!}}$

Here's your answer

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Factorise of the following:-

216 m^3 - 27 n^3

= ( 6m )^3 - ( 3n )^3

= ( 6m - 3n ) { ( 6m )^2 + 6m × 3n + ( 3n )^2 }

= 3 ( 2m - n ) ( 36m^2 + 18mn + 9n^2 )

= 3 ( 2m - n ) × 9 ( 4m^2 + 2mn + n^2 )

= 27 ( 2m - n ) ( 4m^2 + 2mn + n^2 )

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$<b><u><marquee direction> Hope it helps !!$

Answer 2

Here is your solution

$Factorise \\ 216 m^3 - 27 n^3 \\ = ( 6m )^3 - ( 3n )^3 \\ = (6m - 3n) { (6m)^2 + 6m × 3n + (3n)^2 } \\ = 3 (2m - n) (36m^2 + 18mn + 9n^2 \\ = 3 (2m - n) × 9 (4m^2 + 2mn + n^2 ) \\ = 27 ( 2m - n) (4m^2 + 2mn + n^2 )$