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Add.\newline(2t+1)+(2t2+8t+8)(2t + 1) + (2t^2 + 8t + 8)

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Q. Add.\newline(2t+1)+(2t2+8t+8)(2t + 1) + (2t^2 + 8t + 8)
  1. Write Problem: Write down the problem.\newline(2t+1)+(2t2+8t+8)(2t + 1) + (2t^2 + 8t + 8)\newlineWe need to add the two polynomials together.
  2. Combine Terms: Remove the parentheses and combine like terms.\newline(2t+1)+(2t2+8t+8)=2t+1+2t2+8t+8(2t + 1) + (2t^2 + 8t + 8) = 2t + 1 + 2t^2 + 8t + 8\newlineSince there are no like terms with 2t22t^2, we leave it as is. We then combine the terms with tt and the constant terms.
  3. Combine Like Terms: Combine the like terms.\newline2t2+(2t+8t)+(1+8)=2t2+10t+92t^2 + (2t + 8t) + (1 + 8) = 2t^2 + 10t + 9\newlineWe added the coefficients of the terms with tt and the constant terms.

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