Factorise completely: 16m^3 - 54n^3
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Answer:
2(2m-3n)(2m+6mn+3n)
Step-by-step explanation:
16m^3 - 54n^3
= 2(8m^3-27n^3)
= 2[(2m)^3 - 3n^3)]
= 2[(2m-3n)(2m+6mn+3n)]
{using identity a^3-b^3 =(a-b)(a+ab+b)}
=2(2m-3n)(2m+6mn+3n)
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