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Simplify the expression by combining like terms. 3 - 4t⁹ + 4st + 3t⁹ - 12st - 12

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Final answer:

To simplify the expression, combine like terms: substract powers of t, combine terms with st, and combine constant terms. The simplified result is -1t^9 - 8st - 9.

Step-by-step explanation:

To simplify the expression by combining like terms, we need to group terms with the same variable and exponent together:

  • Combine the t9 terms: (3t9 - 4t9)
  • Combine the st terms: (4st - 12st)
  • Combine the constant terms: (3 - 12)

Simplifying each group, we get:

  • -1t9
  • -8st
  • -9

The simplified expression is -1t9 - 8st - 9.

When performing these operations, ensure that the terms are dimensionally consistent, meaning they have the same variables to the same powers.

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