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Two monomials are shown below.18x³y 30x22What is the greatest common factor (GCF) of thesemonomials?

Answer :

The given monomials are:

[tex]\begin{gathered} 18x^3y \\ 30x^2y^2 \end{gathered}[/tex]

Factorizing each term, we get,

[tex]\begin{gathered} 18x^3y=2\times3\times3\times x^2\times y \\ 30x^2y^2=3\times2\times5\times x^2\times y^2 \end{gathered}[/tex]

Therefore, the GCF is,

[tex]\text{GCF}=6x^2y[/tex]

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