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Use the distributive property 2a²(5-3a⁴) Similify your answer as much

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Final answer:

To use the distributive property on 2a²(5-3a⁴), multiply 2a² by each term inside the parentheses to get 10a² - 6a⁶ as the simplified expression.

Step-by-step explanation:

To use the distributive property on the expression 2a²(5-3a⁴), you need to multiply each term inside the parentheses by 2a². Here are the steps to simplify the expression:

  1. Multiply 2a² by 5 to get 10a².
  2. Multiply 2a² by -3a⁴ to get -6a⁴², which simplifies to -6a⁶ since you add the exponents when multiplying powers of the same base.
  3. Combine both products to get the simplified expression: 10a² - 6a⁶.

Simplified, the final answer is 10a² - 6a⁶.

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