First, consider the coefficients and variable parts separately.
- The coefficients of [tex]$15v^3$[/tex] and [tex]$12v^2$[/tex] are [tex]$15$[/tex] and [tex]$12$[/tex], respectively.
1. Find the greatest common factor (GCF) of these coefficients:
[tex]$GCF(15,12)=3$[/tex]
- Now, analyze the variable parts:
Since the variable is [tex]$v$[/tex] in both expressions and we want the term with the lowest exponent,
the powers are [tex]$v^3$[/tex] and [tex]$v^2$[/tex].
2. Choose the variable part with the lowest exponent:
[tex]$v^{\wedge}2$[/tex]
Putting it all together:
The greatest common factor of the two expressions [tex]$15v^3$[/tex] and [tex]$12v^2$[/tex] is:
[tex]$3v^{\wedge}2$[/tex]
