Respuesta :

The Greatest Common Factor is 4ab, therefore the new expression is 4ab(3a^2 + 2ab - 5b^2). Sorry for no detailed explanation, but I can't find a good way to explain this effectively.

Answer:

The Greatest Common Factor is 4ab.

Step-by-step explanation:

Consider the provided expression.

[tex]12a^3b + 8a^2b^2 − 20ab^3[/tex]

Now consider the each term of the above expression as shown:

[tex]12a^3b=2\times 2\times 3 a^3b[/tex]

[tex]8a^2b^2 =2\times 2\times 2 a^2b^2[/tex]

[tex]20ab^3=2\times 2\times 5 ab^3[/tex]

Now, the Greatest common factor of the above expression is:

2 times 2, "a" and "b" are common in all the terms.

Thus, the Greatest Common Factor is 4ab.