felix103
Answered

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What is the greatest common factor for the two expressions?

Use ^ to mean an exponent (use the +6 key). For example, [tex]$3 x^2$[/tex] would be written as [tex]$3 x^{\wedge} 2$[/tex].

[tex]15 v^{\wedge} 3[/tex] and [tex]12 v^{\wedge} 2[/tex]

Do not use any spaces or words.

Sagot :

GinnyAnswer
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]
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