Answer :
We want to simplify the expression
$$
-9 + 45x^3.
$$
First, rewrite the expression by switching the terms (this doesn’t change the value):
$$
45x^3 - 9.
$$
Notice that both terms have a common factor of $9$. To factor $9$ out, we divide each term by $9$:
- For the first term, $\frac{45x^3}{9} = 5x^3$.
- For the second term, $\frac{9}{9} = 1$.
Thus, after factoring out the $9$, we have:
$$
45x^3 - 9 = 9(5x^3 - 1).
$$
Therefore, the factored form of the expression is:
$$
\boxed{9(5x^3 - 1)}.
$$
$$
-9 + 45x^3.
$$
First, rewrite the expression by switching the terms (this doesn’t change the value):
$$
45x^3 - 9.
$$
Notice that both terms have a common factor of $9$. To factor $9$ out, we divide each term by $9$:
- For the first term, $\frac{45x^3}{9} = 5x^3$.
- For the second term, $\frac{9}{9} = 1$.
Thus, after factoring out the $9$, we have:
$$
45x^3 - 9 = 9(5x^3 - 1).
$$
Therefore, the factored form of the expression is:
$$
\boxed{9(5x^3 - 1)}.
$$
