The number of pairs of positive integers \(x\) , \(y\) which solve the equation \[x^3 + 6x^2y + 12xy^2 + 8y^3 = 2^{30}\] is
\(0\),
\(2^6\),
\(2^9-1\),
\(2^{10}+2\).
Polynomials & Rational Functions
Question
The number of pairs of positive integers \(x\) , \(y\) which solve the equation \[x^3 + 6x^2y + 12xy^2 + 8y^3 = 2^{30}\] is
\(0\),
\(2^6\),
\(2^9-1\),
\(2^{10}+2\).