Understanding the Expression
To solve the expression (3x + 8)(2x - 33), we will use the distributive property, often referred to as the FOIL method for binomials. FOIL stands for First, Outside, Inside, Last, which helps in systematically multiplying two binomials.
Step-by-Step Multiplication
1. First: Multiply the first terms of each binomial.
- 3x * 2x = 6x²
2. Outside: Multiply the outer terms.
- 3x * -33 = -99x
3. Inside: Multiply the inner terms.
- 8 * 2x = 16x
4. Last: Multiply the last terms of each binomial.
- 8 * -33 = -264
Combining Like Terms
Now, we will combine all the products together:
- 6x² - 99x + 16x - 264
Next, we combine the like terms (-99x and 16x):
- 6x² - 83x - 264
Final Result
The final simplified expression is:
- 6x² - 83x - 264
This expression cannot be simplified further without specific values for x.
Conclusion
The final result of the expression (3x + 8)(2x - 33) is:
- 6x² - 83x - 264
By applying the distributive property, we've successfully expanded and simplified the expression.

X=-25