Verified Answer :

( a - 3b ) ( a - 3b )

= a² - 3ab - 3ab + (-3b)²

= a² - 6ab + 9b²

Simple,

distribute the \(^{2}\)

It may seem tricky..there is a hidden term in there that most people would forget....

but, it's saying multiply (a-3b)(a-3b)  (FOIL)

aa=\(a^{2}\)  (First)

-3b
a= -3ab  (Outer)

-3ba= -3ab   (Inner)

-3b
-3b= 9\(b^{2}\)  (Last)

Making it....

\(a^{2}+-3ab+-3ab+9 b^{2}\)

Combine terms...

Making your answer, \(a^{2} -6ab+9 b^{2}\)