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Find the product. Simplify your answer.\newline4(t2+4t)-4(-t^2 + 4t)

Full solution

Q. Find the product. Simplify your answer.\newline4(t2+4t)-4(-t^2 + 4t)
  1. Distribute 4-4: We need to distribute the 4-4 across each term in the polynomial (t2+4t)(-t^2 + 4t).\newlineCalculation: 4×(t2)+4×(4t)-4 \times (-t^2) + -4 \times (4t)
  2. Multiply 4-4 by t2-t^2: Multiplying 4-4 by t2-t^2 gives us 4t24t^2.\newlineCalculation: 4×(t2)=4t2-4 \times (-t^2) = 4t^2
  3. Multiply 4-4 by 4t4t: Multiplying 4-4 by 4t4t gives us 16t-16t.\newlineCalculation: 4×(4t)=16t-4 \times (4t) = -16t
  4. Combine results: Combine the results from the previous steps to get the final simplified product.\newlineCalculation: 4t216t4t^2 - 16t

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