Respuesta :

1. Factor by grouping: (16x^2+20x)(20x+25)
2. 4x(4x+5)+5(4x+5)
3. (4x+5)(4x+5)
4. (4x+5)^2

By solving quadratic equation using factorization, [tex]16x^{2}+40x+25[/tex] =  [tex](4x+5)^{2}[/tex].

What is factorization?

The factorization formula factorizes a number quickly into smaller numbers or factors of the number. A factor is a number that divides the given number without any remainder.

Given quadratic equation

[tex]16x^{2}+40x+25[/tex]

= [tex]16x^{2}+20x+20x+25[/tex]

= 4x(4x + 5) + 5(4x + 5)

= (4x + 5)(4x + 5)

= [tex](4x+5)^{2}[/tex]

Hence, by solving quadratic equation using factorization, [tex]16x^{2}+40x+25[/tex] =  [tex](4x+5)^{2}[/tex].

Find out more information about factorization here

https://brainly.com/question/1863222

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