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Factorise : 27x^(3)+8y^(3)+8z^(3)-36xyz...

Factorise : `27x^(3)+8y^(3)+8z^(3)-36xyz`

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To factorize the expression \(27x^3 + 8y^3 + 8z^3 - 36xyz\), we can use the formula for the sum of cubes and the product of three variables. The formula states that: \[ a^3 + b^3 + c^3 - 3abc = (a + b + c)(a^2 + b^2 + c^2 - ab - ac - bc) \] ### Step 1: Identify \(a\), \(b\), and \(c\) ...
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