Question

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

Answer 1

4m^2-20mn+25n^2, a perfect square trinomial 

Answer 2

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

It is a perfect square trinomial

Explanation:

(-2m+5n)^2

WE have square , so we multiply it twice

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

Apply FOIL method to multiply it

`-2m * -2m = 4m^2`

`-2m * 5n = -10mn`

`5n * -2m = -10mn`

`5n * 5n = 25n^2`

Combine all the terms together

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

combine like terms, the equivalent expression is

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

It is a perfect square trinomial