How many pairs of positive integers $(x,y)$ satisfy this equation?

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The number of pairs of positive integers \(x\), \(y\) which solve the equation \[x^3 + 6x^2y + 12xy^2 + 8y^3 = 2^{30}\] is

1. \(0\),

2. \(2^6\),

3. \(2^9-1\),

4. \(2^{10}+2\).

Can we factorise the left hand side of the equation?