Answer:[tex]a_0=25[/tex]
Step-by-step explanation:
It is given that, [tex](5x)^2=a_0x^2[/tex]
We need to find the value of [tex]a_0[/tex]
As [tex](5x)^2=a_0x^2[/tex]
Solving LHS
[tex]25x^2=a_0x^2[/tex]
Now comparing the coefficients of [tex]x^2[/tex]
In LHS the coefficient of [tex]x^2[/tex] is 25
In RHS the coefficient of [tex]x^2[/tex] is [tex]a_0[/tex]
It implies that, [tex]a_0=25[/tex]
So, the value of [tex]a_0[/tex] is 25.