Question

Factor the GCF: 12a3b + 8a2b2 − 20ab3

Answer 1

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 2

The Greatest Common Factor is 4ab.

Explanation:

Consider the provided expression.

`12a^3b + 8a^2b^2 − 20ab^3`

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

`12a^3b=2* 2* 3 a^3b`

`8a^2b^2 =2* 2* 2 a^2b^2`

`20ab^3=2* 2* 5 ab^3`

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.