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Add. \newline(5n2+8)+(9n2+6)(5n^2 + 8) + (9n^2 + 6)

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Q. Add. \newline(5n2+8)+(9n2+6)(5n^2 + 8) + (9n^2 + 6)
  1. Identify Like Terms: Identify the like terms in the polynomials (5n2+8)(5n^2 + 8) and (9n2+6)(9n^2 + 6). The like terms are the terms that have the same variable raised to the same power. In this case, 5n25n^2 and 9n29n^2 are like terms because they both have the variable nn raised to the power of 22. The constants 88 and 66 are also like terms because they are both constant terms without variables.
  2. Add Like Terms: Add the like terms together.\newlineTo add the like terms, we combine the coefficients of the like terms. For the n2n^2 terms, we add the coefficients 55 and 99. For the constant terms, we add the numbers 88 and 66.\newline5n2+9n2=(5+9)n2=14n25n^2 + 9n^2 = (5 + 9)n^2 = 14n^2\newline8+6=8+6=148 + 6 = 8 + 6 = 14\newlineSo, the sum of the like terms is 14n214n^2 for the n2n^2 terms and 1414 for the constant terms.
  3. Write Final Expression: Write the final simplified expression.\newlineThe final simplified expression is the sum of the like terms we found in Step 22.\newlineThe sum is 14n2+1414n^2 + 14.

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