jordananthony18
jordananthony18 jordananthony18
  • 21-07-2016
  • Mathematics
contestada

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

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TSO
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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