Question
Factorise each of the following: 64m3 - 343n3.
Solution
64m3 - 343n3
64m3 - 343n3 = (4m)3 - (7n)3
= (4m - 7n){(4m)2 + (4m)(7n) + (7n)2}
= (4m - 7n)(16m2 + 28mn + 49n2).
