Question

Factorize :
$64m ^{3} - 343n ^{3}$
Please solve it.​

Answer 1

To Factorise :

64m³-343n³

Identity to be used :

• a³-b³ = (a-b)(a²+ab+b²)

Solution :

64m³-343n³

= (4m)³-(7n)³

= (4m-7n)[(4m)²+(4m×7n)+(7n)²]

= (4m-7n)(16m²+28mn+49n²)

Hence,

64m³-343n³ =

(4m-7n)(16m²+28mn+49n²)