Answer :
Answer:
[tex]4m^2 - 20mn+25n^2[/tex]
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
[tex]-2m * -2m = 4m^2[/tex]
[tex]-2m * 5n = -10mn[/tex]
[tex]5n * -2m = -10mn[/tex]
[tex]5n * 5n = 25n^2[/tex]
Combine all the terms together
[tex]4m^2 - 10mn-10mn +25n^2[/tex]
combine like terms, the equivalent expression is
[tex]4m^2 - 20mn+25n^2[/tex]
It is a perfect square trinomial