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.