Identify Like Terms: Identify the like terms in the polynomials (5n2+8) and (9n2+6). The like terms are the terms that have the same variable raised to the same power. In this case, 5n2 and 9n2 are like terms because they both have the variable n raised to the power of 2. The constants 8 and 6 are also like terms because they are both constant terms without variables.
Add Like Terms: Add the like terms together.To add the like terms, we combine the coefficients of the like terms. For the n2 terms, we add the coefficients 5 and 9. For the constant terms, we add the numbers 8 and 6.5n2+9n2=(5+9)n2=14n28+6=8+6=14So, the sum of the like terms is 14n2 for the n2 terms and 14 for the constant terms.
Write Final Expression: Write the final simplified expression.The final simplified expression is the sum of the like terms we found in Step 2.The sum is 14n2+14.
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