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3n+2(2n1)3n+2(-2n-1)\newlineWhich of the following is equivalent to the given expression?\newlineChoose 11 answer:\newline(A) n+2-n+2\newline(B) n+2n+2\newline(C) n2-n-2\newline(D) n2n-2

Full solution

Q. 3n+2(2n1)3n+2(-2n-1)\newlineWhich of the following is equivalent to the given expression?\newlineChoose 11 answer:\newline(A) n+2-n+2\newline(B) n+2n+2\newline(C) n2-n-2\newline(D) n2n-2
  1. Distribute the 22: First, distribute the 22 across the terms inside the parentheses.\newlineCalculation: 3n+2(2n)+2(1)3n + 2(-2n) + 2(-1)
  2. Simplify by multiplying terms: Simplify the expression by multiplying the terms.\newlineCalculation: 3n4n23n - 4n - 2
  3. Combine like terms: Combine like terms to simplify the expression further.\newlineCalculation: (3n4n)2=n2(3n - 4n) - 2 = -n - 2
  4. Final simplified expression: The simplified expression is n2-n - 2, which corresponds to one of the answer choices.

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