Answer :
We start with the expression
[tex]$$
5 - 45x^5.
$$[/tex]
Step 1. Factor out the Greatest Common Factor (GCF):
Notice that both terms share a common factor of [tex]$5$[/tex]. Factoring [tex]$5$[/tex] out gives
[tex]$$
5 - 45x^5 = 5(1 - 9x^5).
$$[/tex]
Step 2. Rewriting the Expression:
The expression inside the parentheses, [tex]$1 - 9x^5$[/tex], can be rewritten by factoring out a negative sign. That is,
[tex]$$
1 - 9x^5 = -(9x^5 - 1).
$$[/tex]
Substitute this back into the factored expression:
[tex]$$
5(1 - 9x^5) = 5\bigl[-(9x^5 - 1)\bigr] = -5(9x^5 - 1).
$$[/tex]
Thus, the completely factored form of the given expression is
[tex]$$
-5(9x^5 - 1).
$$[/tex]>
This is the final answer.
[tex]$$
5 - 45x^5.
$$[/tex]
Step 1. Factor out the Greatest Common Factor (GCF):
Notice that both terms share a common factor of [tex]$5$[/tex]. Factoring [tex]$5$[/tex] out gives
[tex]$$
5 - 45x^5 = 5(1 - 9x^5).
$$[/tex]
Step 2. Rewriting the Expression:
The expression inside the parentheses, [tex]$1 - 9x^5$[/tex], can be rewritten by factoring out a negative sign. That is,
[tex]$$
1 - 9x^5 = -(9x^5 - 1).
$$[/tex]
Substitute this back into the factored expression:
[tex]$$
5(1 - 9x^5) = 5\bigl[-(9x^5 - 1)\bigr] = -5(9x^5 - 1).
$$[/tex]
Thus, the completely factored form of the given expression is
[tex]$$
-5(9x^5 - 1).
$$[/tex]>
This is the final answer.
