Question

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

Answer 1

The greatest common factor is;

`4a^2b`

Step-by-step explanation:

Given the expressions in the attached image;

`36a^5b^3,28a^2b,20a^3b^6`

Let us expand the expressions to get the GCF;

`\begin{gathered} 36a^5b^3=2*2*3*3* a* a* a* a* a* b* b* b \\ 28a^2b=2*2*7* a* a* b \\ 20a^3b^6=2*2*5* a* a* a* b* b* b* b* b* b \end{gathered}`

The GCF will be the common factors;

`\begin{gathered} \text{GCF}=2*2* a* a* b \\ \text{GCF}=4a^2b \end{gathered}`

Therefore, the greatest common factor is;

`4a^2b`