Final answer:
To simplify the expression, combine like terms: the quadratic terms 6b^2 + 3b^2 + 24b^2 become 33b^2, the linear terms -5b - 4b become -9b, and the constants 86 - 9 - 14 become 63, resulting in the expression 33b^2 - 9b + 63.
Step-by-step explanation:
To simplify the expression 6b2 + 3b2 + 86 - 9 + 24b2 - 14 - 5b - 4b by combining like terms, identify and combine terms that have the same variable raised to the same power. Begin by combining the quadratic terms (b2 terms), the linear terms (b terms), and the constant terms (numbers without variables).
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- Combine quadratic terms: 6b2 + 3b2 + 24b2 = 33b2
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- Combine linear terms: -5b - 4b = -9b
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- Combine constant terms: 86 - 9 - 14 = 63
Now, write the terms from the highest to the lowest power of the variable:33b2 - 9b + 63.
To check if the answer is reasonable, ensure that all like terms have been correctly combined and no terms have been omitted.