Question

factories 25x²+25x+4​

Answer 1

25x^2+25x+4

25x^2+20x+5x+4

5x(5x+4)+1(5x+4)

(5x+4)5x+1)

Answer 2

$25 {x}^{2} + 25x + 4 \\ 25 {x}^{2} + 20x + 5x + 4 \\ 5x(5x + 4) + 1(5x + 4) \\ (5x + 1)(5x + 4)$

therefore, (5x + 1) and (5x + 4) are the factors of the given expression