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

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21-07-2016
Mathematics

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

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TSO TSO · Answer 1 · 2016-07-21T20:18:30+02:00

TSO TSO

21-07-2016

Use the formula:
a^3 + b^3 = (a + b)(a^2 - ab + b^2)

[tex]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)}}[/tex]

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