Answer:
\(5x^2y\).
Step-by-step explanation:
We have been given two expressions \(15x^2y^3\) and \(-20x^3yz\). 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 \(15x^2y^3\), x is raised to 2nd power and y is raised to 3rd power, while in \(-20x^3yz\), x is raised to 3rd power and y is raised to 1st power.
The greatest common factor (algebraic) of \(15x^2y^3\) and \(-20x^3yz\) is \(x^2y\).
Therefore, the greatest common factor of \(15x^2y^3\) and \(-20x^3yz\) is \(5x^2y\).
