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Answer :
We start with the expression
[tex]$$5 - 45x^5.$$[/tex]
Step 1. Factor out the Greatest Common Factor (GCF).
Notice that both terms have a factor of [tex]$5$[/tex], so we factor that out:
[tex]$$5 - 45x^5 = 5\left(1 - 9x^5\right).$$[/tex]
Step 2. Rearrange to match the expected answer form.
The expression inside the parentheses, [tex]$1 - 9x^5$[/tex], can be rewritten by factoring out a negative sign:
[tex]$$1 - 9x^5 = -\left(9x^5 - 1\right).$$[/tex]
Substitute this back into the equation:
[tex]$$5\left(1 - 9x^5\right) = 5\left[-\left(9x^5 - 1\right)\right] = -5\left(9x^5 - 1\right).$$[/tex]
Thus, the completely factored form of the expression is
[tex]$$-5\left(9x^5 - 1\right).$$[/tex]
[tex]$$5 - 45x^5.$$[/tex]
Step 1. Factor out the Greatest Common Factor (GCF).
Notice that both terms have a factor of [tex]$5$[/tex], so we factor that out:
[tex]$$5 - 45x^5 = 5\left(1 - 9x^5\right).$$[/tex]
Step 2. Rearrange to match the expected answer form.
The expression inside the parentheses, [tex]$1 - 9x^5$[/tex], can be rewritten by factoring out a negative sign:
[tex]$$1 - 9x^5 = -\left(9x^5 - 1\right).$$[/tex]
Substitute this back into the equation:
[tex]$$5\left(1 - 9x^5\right) = 5\left[-\left(9x^5 - 1\right)\right] = -5\left(9x^5 - 1\right).$$[/tex]
Thus, the completely factored form of the expression is
[tex]$$-5\left(9x^5 - 1\right).$$[/tex]
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