Respuesta :

crsjr

hello,

[tex](3x + 5)^{2} = (3x + 5) \times (3x + 5) \\ \\ = 9 {x}^{2} + 15x + 15x + 25 \\ = {9x}^{2} + 30x + 25[/tex]

so,

a = 9, b = 30, c = 25.

[tex] \boxed {crsjr}[/tex]

The value of  a + b + c is 64

To understand more, check below explanation.

Quadratic equation:

We have to write given expression in [tex]ax^{2} +bx+c[/tex] format.

As we know that,

             [tex](a+b)^{2} =a^{2} +b^{2} +2ab[/tex]

Given expression,

            [tex](3x+5)^{2} =9x^{2} +25+30x\\\\(3x+5)^{2} =9x^{2} +30x+25[/tex]

After comparing, we get, a = 9, b = 30 and c = 25

So taht, a + b + c = 9+30+25 = 64

Learn more about the quadratic equation here:

https://brainly.com/question/1214333