factorise 8x³-27y³+z³+18xyz
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Factorize 8x³ + 27y³ + z³ - 18xyz.
Good question,
Here is your perfect answer!
= 8x³ + 27y³ + z³ - 18xyz
= (2x)³ + (3y)³ + z³ - 3(2x)(3y)(z)
By using identity,
(a³ + b³ +c³ - 3abc) = (a+b+c) (a² + b² + c² - ab - bc - ac)
= (2x + 3y + z) [(2x)² + (3y)² + z² - 2x*3y - 3y*z - 2x*z).
= (2x + 3y + z) (4x² + 9y² + z² - 6xy - 3yz - 2zx).
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