Question

Which is equivalent to (negative 2 m + 5 n) squared, and what type of special product is it?

Answer 1

4 m squared minus 20 m n + 25 n squared; a perfect square trinomial

Explanation:

Given expression,

(negative 2 m + 5 n) squared

By using (a+b)² = a² + 2ab + b²,

∵ A trinomial which is the square of a binomial is called a perfect square trinomial.

Thus, is a perfect square trinomial.