Twice the product of m and n decreased by the square of the sum of m and n. Which of the following is an expression for the statement above?

Correct answer: B. 2mn - (m+n)2

  • A. 2mn2 - (m2 + n2)
  • B. 2mn - (m+n)2
  • C. (m+n)2 - 2mn
  • D. (m2 + n2) - 2mn

Explanation

The correct expression is 2mn - (m+n)2. The statement specifies that you should first find the product of m and n, multiply it by two, and then subtract the square of the sum of m and n. Option B accurately reflects this procedure. Option A incorrectly uses the square of each variable separately. Option C reverses the order, and Option D also incorrectly uses individual squares instead of the square of the sum.

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