Ответ:

Объяснение:

1) [tex]x^{2} +2xy+y^{2} -25=(x+y)^{2} -25=(x+y-5)(x+y+5)\\[/tex]

2) [tex]16x^{2} -25y^{2} +4x-5y=(4x-5y)(4x+5y)+4x-5y=(4x-5y)(4x+5y+1)[/tex]

3) [tex]m^{2} -a^{2} -8m+16=(m-4)^{2} -a^{2} =(m-4-a)(m-4+a)\\[/tex]

4) [tex]100m^{2} -10m+9n-81n^{2} =(10m-9n)(10m+9n)-10m+9n=(10m-9n)(10m+9n-1)[/tex]