Which of the following is the greatest common factor of the terms 36a^5b^3, 28a^2b, 20a^3b^6A. 4a^5b^6B. 1260a^5b^6C. 4a^2bD. 9a^3b^2+7+5ab^5

Which of the following is the greatest common factor of the terms 36a5b3 28a2b 20a3b6A 4a5b6B 1260a5b6C 4a2bD 9a3b275ab5 class=

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Answer:

The greatest common factor is;

[tex]4a^2b[/tex]

Explanation:

Given the expressions in the attached image;

[tex]36a^5b^3,28a^2b,20a^3b^6[/tex]

Let us expand the expressions to get the GCF;

[tex]\begin{gathered} 36a^5b^3=2\times2\times3\times3\times a\times a\times a\times a\times a\times b\times b\times b \\ 28a^2b=2\times2\times7\times a\times a\times b \\ 20a^3b^6=2\times2\times5\times a\times a\times a\times b\times b\times b\times b\times b\times b \end{gathered}[/tex]

The GCF will be the common factors;

[tex]\begin{gathered} \text{GCF}=2\times2\times a\times a\times b \\ \text{GCF}=4a^2b \end{gathered}[/tex]

Therefore, the greatest common factor is;

[tex]4a^2b[/tex]