Find the greatest common factor of 15x 2 y 3 and -20x 3 yz.
2 answers:
Multiply the GCF of the numerical part 3 and the GCF of the variable part x^2y to get
3x^2y.
Answer:
![5x^{2} y](https://tex.z-dn.net/?f=5x%5E%7B2%7D%20y)
Step-by-step explanation:
A polynomial has a common factor when the same quantity, whether number or letter, is found in all terms of the polynomial.
We can express the terms as follows, and find their common factor.
![15x^{2} y^{3} = 5*5*5*x*x*y*y*ÿ](https://tex.z-dn.net/?f=15x%5E%7B2%7D%20y%5E%7B3%7D%20%20%20%3D%20%205%2A5%2A5%2Ax%2Ax%2Ay%2Ay%2A%C3%BF)
![-20x^{3} yz = -5*5*5*5*x*x*x*y*z](https://tex.z-dn.net/?f=-20x%5E%7B3%7D%20yz%20%3D%20-5%2A5%2A5%2A5%2Ax%2Ax%2Ax%2Ay%2Az)
In this way, you can find the elements common to both terms
![5x^{2} y(3y^{2} )(-4xz)](https://tex.z-dn.net/?f=5x%5E%7B2%7D%20y%283y%5E%7B2%7D%20%29%28-4xz%29)
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