Which expression is equivalent to b squared minus open bracket open paren b cubed plus 7 b squared plus 14 b plus 6 close paren divided by open paren b plus 3 close paren close bracket ?

Divide b³ + 7b² + 14b + 6 by b + 3 to get b² + 4b + 2. Then subtract that quotient from b²: b² − (b² + 4b + 2) = −4b − 2. So the equivalent expression is negative 4b minus 2, choice D.

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