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Add.\newline(9k2+7k+6)+(9k2+5k+4)(9k^2 + 7k + 6) + (9k^2 + 5k + 4)\newline______

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Q. Add.\newline(9k2+7k+6)+(9k2+5k+4)(9k^2 + 7k + 6) + (9k^2 + 5k + 4)\newline______
  1. Identify Like Terms: Identify the like terms in both polynomials. The like terms are the terms that have the same variable raised to the same power. In the given polynomials, the like terms are the terms with k2k^2, the terms with kk, and the constant terms.
  2. Add Coefficients of k2k^2: Add the coefficients of the like terms with k2k^2.
    (9k2+7k+6)+(9k2+5k+4)(9k^2 + 7k + 6) + (9k^2 + 5k + 4)
    = (9k2+9k2)+(7k+5k)+(6+4)(9k^2 + 9k^2) + (7k + 5k) + (6 + 4)
    = 18k2+(7k+5k)+(6+4)18k^2 + (7k + 5k) + (6 + 4)
  3. Add Coefficients of kk: Add the coefficients of the like terms with kk.\newline18k2+(7k+5k)+(6+4)18k^2 + (7k + 5k) + (6 + 4)\newline= 18k2+12k+(6+4)18k^2 + 12k + (6 + 4)
  4. Add Constant Terms: Add the constant terms.\newline18k2+12k+(6+4)=18k2+12k+1018k^2 + 12k + (6 + 4) = 18k^2 + 12k + 10
  5. Write Final Expression: Write the final simplified expression.\newlineThe sum of the polynomials is 18k2+12k+1018k^2 + 12k + 10.

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