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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