The expression in the image is:

$3(5)^3 - 2(5)^2$

Let's break it down step by step:

1. First, calculate $5^3$ (which is $5 \times 5 \times 5 = 125$) and $5^2$ (which is $5 \times 5 = 25$).

2. Multiply these values by their respective coefficients: $3 \times 125 = 375$ $2 \times 25 = 50$

3. Subtract the second result from the first: $375 - 50 = 325$

Thus, the value of the expression is:

$325$

Would you like any more details or explanations on this? Here are some related questions:

1. How do you expand and simplify polynomials?
2. What are the basic rules of exponents?
3. Can you explain the distributive property in algebra?
4. How do you solve equations involving higher powers of numbers?
5. What is the general process for simplifying algebraic expressions?

Tip: Always follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) when simplifying expressions.