Which is equivalent to open paren negative 2 m plus 5 n close paren squared , and what type of special product is it?

Use the square-of-a-binomial rule: (a + b)² = a² + 2ab + b². Here, a = −2m and b = 5n, so the terms are 4m², −20mn, and 25n². The result is a perfect square trinomial, so the correct choice is “4m squared minus 20mn plus 25n squared; a perfect square trinomial.”

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