Answer:
[tex](a+5b)(a-5b)[/tex]
Step-by-step explanation:
[tex]a^2 - 25b ^2[/tex]
Factor completely
write 25 in square form , 25= 5^2
[tex]a^2 -5^2b ^2[/tex]
[tex]a^2 -(5b)^2[/tex]
Apply difference of squares formula to factor it
[tex]x^2 - y^2 = (x+y)(x-y)[/tex]
[tex]a^2 -(5b)^2[/tex]
x= a and y=5b
[tex](a+5b)(a-5b)[/tex]