factor 25x^2+10x+1?

25x^2 + 10x + 1
= 25x^2 + 5x + 5x + 1
= (25x^2 + 5x) + (5x + 1)
= 5x(5x + 1) + 1(5x + 1)
= (5x + 1)(5x + 1)
= (5x + 1)^2

it can be factored at (5x+1)(5x+1) = (5x+1)^2.

(5x + 1)(5x + 1)
(5x + 1)²

25x^2 + 10x + 1 = 0
25X^2 + 5x + 5x + 1 = 0
5x (5x +1) + 1 (5x + 1) = 0
(5x +1) (5x +1) = 0
x = -1/5

given equation 25x^2+10x+1


we can write the above equation as follows:

25x^2 + 5x + 5x + 1 [ since 10x is written as 5x+5x]

5x(5x+1) + 1 (5x+1)


the factors are 5x+1 and 5x+1

other wise we can say (5x+1)^2 is the factor of the equation

Matt, factorise something for yourself, we are not a homework service!