Respuesta :

[tex] (4a+5)^2 = 16a^2 + Ba + 25 \\
16a^2+40a+25= 16a^2 + Ba + 25 \\
B=40 [/tex]

Answer: The coefficient of the secong term is 40.


Step-by-step explanation:

Given polynomial: [tex](4a+5)^2[/tex]

Here 4a+5 is a binomial and square of a binomial is given by indentity:

[tex](x+y)^2=x^2+2xy+y^2[/tex]

Then, [tex](4a+5)^2=(4a)^2+2(4a)(5)+5^2[/tex]

[tex](4a+b)^2=16a^2+40a+25[/tex]

On comparing with [tex]16a^2+Ba+25[/tex], we get B=40

We can see the coefficient of the second term is 40.