Question

Factor completely, then place the answer in the proper location on the grid. a ^2 - 25b ^2

Answer 1

`(a+5b)(a-5b)`

Explanation:

`a^2 - 25b ^2`

Factor completely

write 25 in square form , 25= 5^2

`a^2 -5^2b ^2`

`a^2 -(5b)^2`

Apply difference of squares formula to factor it

`x^2 - y^2 = (x+y)(x-y)`

`a^2 -(5b)^2`

x= a and y=5b

`(a+5b)(a-5b)`