Answer:
[tex]5x^2y[/tex].
Step-by-step explanation:
We have been given two expressions [tex]15x^2y^3[/tex] and [tex]-20x^3yz[/tex]. We are asked to find the greatest common factor of both terms.
We know that the greatest common factor of any two numbers or expression is a number that completely divides the numbers.
The GCF of coefficient is 5 as 5 is the greatest number that completely divides 15 and 20.
We can see that in [tex]15x^2y^3[/tex], x is raised to 2nd power and y is raised to 3rd power, while in [tex]-20x^3yz[/tex], x is raised to 3rd power and y is raised to 1st power.
The greatest common factor (algebraic) of [tex]15x^2y^3[/tex] and [tex]-20x^3yz[/tex] is [tex]x^2y[/tex].
Therefore, the greatest common factor of [tex]15x^2y^3[/tex] and [tex]-20x^3yz[/tex] is [tex]5x^2y[/tex].
