factorise using suitable formula: a^3 + 27b^3 + 64c^3 - 36abc
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Step-by-step explanation:
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Step-by-step explanation:
a³ + 27b³ + 64c³ - 36abc=(a)³+(3b)³+(4c)³-3×a×3b×4c
Using
=a³ + b³ + c³ - 3abc = (a+b+c)(a²+b²+c³-ab-bc-ca)
= a³ + 27b³ + 64c³ - 36abc=(a+3b+4c) [a²+(3b)²+(4c)³-a×3b-3b×4c-4c×a)]
= a³ + 27b³ + 64c³ - 36abc=(a+3b+4c)(a²+9b²+16c³-3ab-12bc-4ca)
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