Im having trouble factoring 25x^2-10x+1 using the ac method. I end up with (5x-5)(5x-5)

Have to choose 2 numbers whose some equals -10, and product 25

How about -5, -5 a+b = -10

a.b = 25 So the factors are

-10X = -5X - 5X

25 X

^{2}- 5X -5X +1 = 5X ( 5X-1 ) - ( 5X -1) =

(5X -1 ) ( 5X - 1) = 25X

^{2 }- 10X +1 You should be good in the quadratic expression:

From ( a ±b )

^{2 }= a^{2}±2ab + b^{2 }and recognize this immediately.