To multiply \(-25a^2b^2c - 3xyz\) by \(-4ab\), we distribute \(-4ab\) to each term in the expression.

1. **First term**:  
   \[
   -25a^2b^2c \times -4ab = (-25) \times (-4) \times a^2 \times a \times b^2 \times b \times c = 100a^3b^3c
   \]

2. **Second term**:  
   \[
   -3xyz \times -4ab = (-3) \times (-4) \times x \times y \times z \times a \times b = 12abxyz
   \]

So, the result is:
\[
100a^3b^3c + 12abxyz
\]

Would you like more details on any step, or do you have any questions?

Here are some related questions you might find helpful:
1. What happens when you multiply two polynomials?
2. How do you factor common terms from an algebraic expression?
3. What is the distributive property in algebra?
4. How do exponents affect multiplication of variables?
5. Can you combine like terms after multiplying polynomials?

**Tip:** Always ensure each variable’s exponent is correctly added when multiplying like terms with exponents.

Learn how to multiply -25a²b²c -3xyz by -4ab with a detailed step-by-step solution. This problem covers key algebraic concepts including multiplication of polynomials and the distributive property. Suitable for students in Grades 7-9.

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