Answer:
Explanation:
The greatest common factor is the factor that is common to all the terms in the given expression.
Given the expression:
[tex]30x^2y-45x^2y^2+135xy^3[/tex]
Find the factors of each term
[tex]\begin{gathered} 30x^2y=15\times2\times x\times x\times y \\ 45x^2y^2=15\times3\times x\times x\times y\times y \\ 135xy^3=15\times9\times x\times y\times y\times y \end{gathered}[/tex]
From the following factors, we can see that the common factors are 15, x, and y.
Taking their products to get the Greatest Common Factor
[tex]\begin{gathered} \text{GCF}=15\times x\times y \\ \text{GCF}=15xy \end{gathered}[/tex]
Hence the GCF of the expression is 15xy
