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What is 125x^9 + 64y^12 written as a sum of cubes
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What is 125x^9 + 64y^12 written as a sum of cubes

User Shoshana
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2 Answers

6 votes

Answer:

The answer is C

Explanation:

Edge 2023

User Dimlucas
by
8.6k points
5 votes
Use the formula:
a^3 + b^3 = (a + b)(a^2 - ab + b^2)


125x^9 + 64y^(12)\\\\=(5x^3)^3 + (4y^4)^3\\\\=(5x^3 + 4y^4)[(5x^3)^2 - (5x^3)(4y^4) + (4y^4)^2]\\\\=\boxed{\bf{(5x^3 + 4y^4)(25x^6 - 20x^3y^4+16y^8)}}
User Mirek Michalak
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