taylormae111899 taylormae111899

25-10-2016
Mathematics

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What is the factored form of 27d^6+8g^12?

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Аноним Аноним

25-10-2016

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smmwaite smmwaite

07-11-2018

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)

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