64m^3-27n^3

How do I factorise this? I know that one factor is (4m-3n) just by taking the cube roots but when I sub this factor into long division I can't work out how to find the quotient.

Thankyou!
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1 Answer

a3-b3=(a-b)(a2+ab+b2). Let a=4m and b=3n, then:

64m3-27n3=(4m-3n)(16m2+12mn+9n2).

by Top Rated User (1.2m points)

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