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(y³ − 7x⁴ y⁴ ) + (−10x⁴ y³ + 6y³ + 4x⁴ y⁴ ) − (x⁴ y³ + 6x⁴ y⁴ )

Question

(y³ − 7x⁴ y⁴ ) + (−10x⁴ y³ + 6y³ + 4x⁴ y⁴ ) − (x⁴ y³ + 6x⁴ y⁴ )

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Solution

Sure, let's simplify the expression step by step:

  1. First, let's group the like terms together:

    (y³ - 7x⁴y⁴ - 10x⁴y³ + 6y³ + 4x⁴y⁴ - x⁴y³ - 6x⁴y⁴)

  2. Now, let's combine the like terms:

    = y³ - x⁴y³ - 9x⁴y⁴ + 6y³

  3. Finally, let's rearrange the terms:

    = 6y³ + y³ - x⁴y³ - 9x⁴y⁴

So, the simplified form of the given expression is 6y³ + y³ - x⁴y³ - 9x⁴y⁴.

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