Simplifying the Expression: (8b^3 + 8) - (6 - 7b^3)
This expression involves combining like terms and simplifying the parentheses. Here's a step-by-step breakdown:
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Distribute the negative sign: The minus sign in front of the second set of parentheses means we multiply each term inside by -1:
(8b^3 + 8) + (-1 * 6) + (-1 * -7b^3)
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Simplify the multiplication:
(8b^3 + 8) - 6 + 7b^3
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Combine like terms: Identify the terms with the same variable and exponent (or no variable at all) and combine their coefficients:
(8b^3 + 7b^3) + (8 - 6)
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Final simplification:
15b^3 + 2
Therefore, the simplified form of the expression (8b^3 + 8) - (6 - 7b^3) is 15b^3 + 2.