Verify the formulas below.
\(a^3+b^3=(a+b)(a^2-ab+b^2)\)
\(a^3-b^3=(a-b)(a^2+ab+b^2)\)

Factor \(x^3-8\).

Factor \(y^3+27\).

Factor \(64+t^3\).

Factor \(27x^3+125y^3\).

Factor \(a^3-\displaystyle\frac{1}{8}\).

Factor \(x^6-y^6\).