13. factor the algebraic expressions completely.?

16x² + 40x + 25 = 0
x² + 5/2x = - 25/16
x² + 5/4x = - 25/16 + (5/4)²
x² + 5/4x = - 25/16 + 25/16
(x + 5/4)² = 0
x + 5/4 = 0

= 4x + 5

Answer: (4x + 5)² or (4x + 5)(4x + 5)

16x^2 + 40x + 25
= 16x^2 + 20x + 20x + 25
= (16x^2 + 20x) + (20x + 25)
= 4x(4x + 5) + 5(4x + 5)
= (4x + 5)(4x + 5)
= (4x + 5)^2

(4x+5)^2

(4x + 5)^2 or (4x + 5) (4x + 5)

This is (4x+5)^2.

16x^2 + 40 x + 25
=(4x + 5) ^2