Respuesta :
Answer:
[tex]-12a^3b^2c(2bc^2-7a)[/tex]
Step-by-step 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.
[tex]-24a^3b^3c^3-84a^4b^2c\\-12a^3b^2c(2bc^2-7a)[/tex]
Answer:
-12a³b²c ( 2bc² + 7a)
Step-by-step 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)