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The given expression can be factorized as:

\[
50abc(2ab^2 + b^2c^2 - 3bc - 4c)
\]

Would you like more details or have any questions on this factorization?

Here are 5 related questions that expand on this concept:
1. How would the factorization change if there were additional terms in the polynomial?
2. Can you perform this factorization using grouping techniques?
3. How do you find common factors when dealing with more complex polynomials?
4. What role does each variable (a, b, c) play in the factorization process?
5. What methods can be used to factor polynomials with more variables?

**Tip:** Always look for the greatest common factor (GCF) first before applying other factorization techniques. This simplifies the problem significantly.

Learn how to factorize the expression 100a^2b^3c - 150ab^2c^2 + 50ab^3c^3 - 200abc^2 by extracting the greatest common factor (GCF). This problem involves polynomials and uses algebraic factorization techniques. Suitable for high school students (Grades 10-12).

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