Respuesta :
Answer:
[tex]3x^2y[/tex]
Step-by-step explanation:
We are asked to find the greatest common factors of [tex]15x^2y^3[/tex] and [tex]-18x^2yz[/tex].
We know that the greatest common factors of two numbers is a number that divides both numbers completely.
Factors of [tex]15x^2y^3[/tex] : [tex]3\cdot 5\cdot x \cdot x\cdot y\cdot y\cdot \cdot y[/tex]
Factors of [tex]-18x^2yz[/tex] : [tex]3\cdot 3\cdot -2\cdot x \cdot x\cdot y\cdot z[/tex]
We can see that both terms share a common factor that is [tex]3x^2y[/tex]
Therefore, the greatest common factor of both expressions is [tex]3x^2y[/tex].
