Question

Solve factorise 64m3-343n3

Answer 1

Answer:

(4m - 7n) ( 16m² + 49n² + 28mn)

Step-by-step explanation:

firstly we will factorise each one of them one by one . So,

64m³ = 4m × 4m × 4m ⇒ (4m)³

then secondly

343n³ = 7n × 7n ×7n ⇒ ( 7n)³

then we will use this in the given equation

(4m)³ -  ( 7n)³ ⇒ (4m -7n) ×  { (4m)² + (7n)² + ( 4m × 7n) }

i have used this because we know

a³ - b³ = ( a-b) ( a² + b² + ab )

so after simplifying the bracket you will get the answer as

(4m - 7n) ( 16m² + 49n² + 28mn)