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20 June, 02:50

What is 125x9 + 64y12 written as a sum of cubes?

(25x3) 3 + (4y4) 3

(5x3) 3 + (16y4) 3

(25x3) 3 + (8y4) 3

(5x3) 3 + (4y4) 3

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Answers (1)
  1. 20 June, 02:55
    0
    The answer is (5x3) 3 + (4y4) 3

    proof

    (5x^3) ^3 + (4y^4) ^3=?

    (5x^3) ^3=5^3. (x^3) ^3=125x^3.3 = 125x^9

    (4y^4) ^3=4^3. (y^4) ^3=64y^4.3=64y12

    finally 125x9 + 64y12

    (5x^3) ^3 + (4y^4) ^3=
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