Question

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

Answer 1

Answer:

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

It is a perfect square trinomial

Step-by-step 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

Answer 2

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