Question

factorise
27m³- 64n³​

Answer 1

Answer:

I hope this is to be factorized.

27m³ + 64n³

3³m³ + 4³n³

(3m)³ + (4n)³

( 3m + 4n ) [ (3m)² - 12mn + (4n)² ]

( 3m + 4n ) [ 9m² - 12mn + 16n² ]

Answer 2

$\sf\red{ 27m³- 64n³ } \\ \sf \red {={(3m)}^{3} - {(4n)}^{3} } \\ \sf\red{ = (3m - 4n) [{(3m)}^{2} + 3m.4n + {(4n)}^{2}] }\\ \sf\red{ = (3m - 4n)(9 {m}^{2} + 12mn + 16 {n}^{2} }$