Question

Factor the GCF: 12a3b + 8a2b2 − 20ab3

Answer 1

12a^3b + 8a^2b^2 − 20ab^3

12a^3b = 4ab(3a^2)
8a^2b^2 = 4ab(2ab)
20ab^3 = 4ab(5b^2)

GCF = 4ab

12a3b + 8a2b2 − 20ab3 = 4ab(3a^2 + 2ab - 5b^2)

Answer 2

Answer:

The GCF of given expression is 4ab.

Step-by-step explanation:

The given expression is

$12a^3b+8a^2b^2-20ab^3$

The factor form of each term is

$12a^3b=2\times 2\times 3\times a\times a\times a\times b$

$8a^2b=2\times 2\times 2\times a\times a\times b\times b$

$-20ab^3=-2\times 2\times 5\times a\times b\times b\times b$

The common factors are 2,2,a,and b.

The GCF of given expression is

$12a^3b=2\times 2\times a\times b=4ab$

Therefore the GCF of given expression is 4ab.