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Answer

(3d² + 2g⁴)(9d⁴ - 6d²g⁴ + 4g⁸)


Explanation

We can factor out the following equation as follows:

27d⁶ + 8g¹² = 3³d⁶ + 2³g¹²

               = (3d²)³ + (2g⁴)³

                = (3d² + 2g⁴)((3d²)² - 3d²2g⁴ + (2g⁴)²)

               =  (3d² + 2g⁴)(9d⁴ - 6d²g⁴ + 4g⁸)