Question

Factor -24a3b3c3 - 84a4b2c.

Answer 1

`-12a^3b^2c(2bc^2-7a)`

Explanation:

We can factor the the expression using the GCF by finding the greatest common factors (parts that multiply to make it) and pulling them out.

`-24a^3b^3c^3-84a^4b^2c\\-12a^3b^2c(2bc^2-7a)`

Answer 2

-12a³b²c ( 2bc² + 7a)

Explanation:

To factorize, we must separate the highest common factors between the products that make up the given expression. To get the highest common factor between the two products,

-24a3b3c3 = -2 * 2 *2 * 3 * a³ *b² *b * c² * c

- 84a4b2c = -2 * 2 *3 * 7 * a³ * a *b² * c

The common elements are -2, 2, 3, a³, b², c

The product of the common elements

= -12a³b²c

Hence, factorizing

-24a3b3c3 - 84a4b2c = -12a³b²c ( 2bc² + 7a)