Question

Factor 25x 2 + 10x + 1.

Answer 1

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

Answer 2

Answer: Factors are (5x+1)²

Step-by-step explanation:

Given expression : $25x^{2} + 10x+ 1$

We have to find the factors of the above expression

In order to find the factors of a quadratic equation  we multiply the first term with the third term

i.e. $25x^{2} \times1$

=$25x^{2}$

Now to break it in multiples such that their sum or difference is equal to the middle term

If we take (5+5)x  that makes 10x

$25x^{2} + 5x +5x+1$

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

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

or (5x+1)²