Simplifying the Expression: (-4b^2 + 8b) + (-4b^3 + 5b^2 - 8b)
This expression involves combining like terms, which means identifying terms with the same variable and exponent and adding or subtracting their coefficients.
Here's how to simplify the expression step-by-step:
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Identify like terms:
- b^3 terms: -4b^3
- b^2 terms: -4b^2 + 5b^2
- b terms: 8b - 8b
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Combine like terms:
- b^3 term: -4b^3
- b^2 term: -4b^2 + 5b^2 = b^2
- b term: 8b - 8b = 0
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Write the simplified expression:
- -4b^3 + b^2
Therefore, the simplified form of the expression (-4b^2 + 8b) + (-4b^3 + 5b^2 - 8b) is -4b^3 + b^2.