Which is a factored form of 4x^2 + 20x + 25 a (2x +  5)2 b (2x +  5)(2x -  5) c (2x -  5)2 d (2x -  5)(2x -  15)

(2x + 5)²

Explanation:
The general form of the quadratic equation is:
ax² + bx + c
The given expression is:
4x² + 20x + 25
By comparison:
a = 4
b = 20
c = 25

Now, to get the factors of the given expression, we will need to use the quadratic formula attached in the image.

By substituting in this formula, we would find that:
either x = -5/2 .........> This means that the first factor is (2x+5)
or x = -5/2 ...........> This means that the second factor is (2x + 5)

We can note that the two factors are exactly the same, this means that the factored form of the given expression is:
(2x+5)(2x+5) = (2x+5)²

Hope this helps :)