Answer :
We start with the expression
[tex]$$19x^3 - 38x^2.$$[/tex]
Step 1. Identify the Greatest Common Factor (GCF):
- Both terms have a numerical factor that can be divided by 19.
- Both terms also include a variable factor of at least [tex]$x^2$[/tex].
Thus, the GCF is
[tex]$$19x^2.$$[/tex]
Step 2. Factor out the GCF:
Divide each term by [tex]$19x^2$[/tex]:
- For the first term:
[tex]$$\frac{19x^3}{19x^2} = x.$$[/tex]
- For the second term:
[tex]$$\frac{-38x^2}{19x^2} = -2.$$[/tex]
Step 3. Write the factored form:
After factoring out the GCF, the expression becomes
[tex]$$19x^2(x - 2).$$[/tex]
Final Answer:
[tex]$$19x^2(x - 2).$$[/tex]
[tex]$$19x^3 - 38x^2.$$[/tex]
Step 1. Identify the Greatest Common Factor (GCF):
- Both terms have a numerical factor that can be divided by 19.
- Both terms also include a variable factor of at least [tex]$x^2$[/tex].
Thus, the GCF is
[tex]$$19x^2.$$[/tex]
Step 2. Factor out the GCF:
Divide each term by [tex]$19x^2$[/tex]:
- For the first term:
[tex]$$\frac{19x^3}{19x^2} = x.$$[/tex]
- For the second term:
[tex]$$\frac{-38x^2}{19x^2} = -2.$$[/tex]
Step 3. Write the factored form:
After factoring out the GCF, the expression becomes
[tex]$$19x^2(x - 2).$$[/tex]
Final Answer:
[tex]$$19x^2(x - 2).$$[/tex]