Answer: Factors are (5x+1)²
Step-by-step explanation:
Given expression : [tex]25x^{2} + 10x+ 1[/tex]
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. [tex]25x^{2} \times1[/tex]
=[tex]25x^{2}[/tex]
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
[tex]25x^{2} + 5x +5x+1[/tex]
5x(5x+1) +1(5x+1)
=(5x+1)(5x+1)
or (5x+1)²
