Question

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

Answer 1

The difference of squares is 4m^2 - 20mn + 25n^2

Its a perfect square trinomial.

What is perfect square trinomial?

A perfect square trinomial is the square of a binomial. It follows a pattern when it is factored, so that the first and last terms are perfect squares of monomials and the middle term is twice their product. If the pattern does not fit for a particular trinomial, it is not a perfect square trinomial.

How to solve this equation?

(-2m + 5n)^2

(-2m + 5n)(-2m + 5n)

4m^2-10mn-10mn+25n^2

4m^2 - 20mn + 25n^2

Thus, the difference of squares is 4m^2 - 20mn + 25n^2

Its a perfect square trinomial.

To learn more about solving equation visit:

brainly.com/question/2546389

#SPJ4