Answer
$prime$
Work Step by Step
Rearranging the terms, the given expression is equivalent to
\begin{array}{l}\require{cancel}
47-42y+9y^2
\\\\=
9y^2-42y+47
.\end{array}
Using the factoring of trinomials in the form $ax^2+bx+c,$ the $\text{
expression
}$
\begin{array}{l}\require{cancel}
9y^2-42y+47
\end{array} has $ac=
9(47)=423
$ and $b=
-42
.$
There are no two numbers with a product of $c$ and a sum of $b.$ Hence, the expression above is $\text{
prime
.}$
