Answer:
Option C
(4x + 5)(4x +5)
Step-by-step explanation:
Step 1: Write the expression
[tex]16x^{2} + 40x + 25[/tex]
Step 2: Choose to integers that when you add you get 40 and when multiplied you get 400
The integers are +20 and +20
Step 2: Split 40x into + 20x nd + 20 x
Therefore
[tex]16x^{2} + 40x + 25 = 16x^{2} + 20x + 20x + 25[/tex]
Next
[tex]16x^{2} + 20x + 20x + 25 = 4x(4x + 5) + 5(4x + 5)\\(4x + 5)(4x + 5)[/tex]
