Question

What is the greatest common factor of 20a^2b^2 and 50b^3?

Answer 1

Answer:

The greatest common factor is;

$10b^2$

Explanation:

Given the terms;

$\begin{gathered} 20a^2b^2 \\ \text{and} \\ 50b^3 \end{gathered}$

Let us expand each of the terms;

$\begin{gathered} 20a^2b^2=2\times2\times5\times a\times a\times b\times b \\ 50b^3=2\times5\times5\times b\times b\times b \end{gathered}$

We can now write out the common factors;

$\begin{gathered} \text{GCF}=2\times5\times b\times b \\ \text{GCF}=10b^2 \end{gathered}$

Therefore, the greatest common factor is;

$10b^2$