Let's evaluate each expression for $x = 6$ and $y = 3$ and see which are greater than 100.

Expression A:

$6xy = 6(6)(3) = 108$ This is greater than 100.

Expression B:

$5(4x + 3y) = 5(4(6) + 3(3)) = 5(24 + 9) = 5(33) = 165$ This is greater than 100.

Expression C:

$3x^2 - 2y = 3(6^2) - 2(3) = 3(36) - 6 = 108 - 6 = 102$ This is greater than 100.

Expression D:

$2x^3 - 5y = 2(6^3) - 5(3) = 2(216) - 15 = 432 - 15 = 417$ This is greater than 100.

Conclusion:

All four expressions (A, B, C, D) are greater than 100.

The correct answer is: A, B, C, D.

Would you like more details or have any questions?

Here are 5 follow-up questions:

1. How would these expressions change if $x = 2$ and $y = 4$?
2. What happens if you only increase the value of $y$ while keeping $x = 6$?
3. Can you simplify expression B before evaluating it for $x = 6$ and $y = 3$?
4. How do you determine when to use substitution versus simplification in evaluating expressions?
5. What happens if we swap the values of $x$ and $y$ in all the expressions?

Tip: When solving algebraic expressions, always follow the correct order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction).