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Let's solve this step by step.

We are asked to find the difference between two expressions:

\[
(x^3 + x^2 + 9x) - (3x^2 + 2x + 3)
\]

### Step 1: Distribute the negative sign
We will subtract each term inside the second parenthesis:

\[
(x^3 + x^2 + 9x) - (3x^2 + 2x + 3) = x^3 + x^2 + 9x - 3x^2 - 2x - 3
\]

### Step 2: Combine like terms
- \(x^3\) (no other \(x^3\) terms to combine with)
- \(x^2 - 3x^2 = -2x^2\)
- \(9x - 2x = 7x\)
- The constant term is \(-3\)

So, the result is:

\[
x^3 - 2x^2 + 7x - 3
\]

Now, let's match the expression to the format with blanks:

\[
[\ ?\ ]x^3 + [\ -2\ ]x^2 + [\ 7\ ]x + [\ -3\ ]
\]

Thus, the correct answer for the missing blanks is:

- The coefficient of \(x^3\) is \(1\).
- The coefficient of \(x^2\) is \(-2\).
- The coefficient of \(x\) is \(7\).
- The constant term is \(-3\).

Would you like further details or have any questions?

### Related questions:
1. How do you subtract polynomials in general?
2. What are like terms, and how do you identify them?
3. How can you factor the resulting polynomial \(x^3 - 2x^2 + 7x - 3\)?
4. How does distributing the negative sign affect each term?
5. What is the difference between subtraction and addition of polynomials?

### Tip:
Always remember to distribute negative signs carefully when subtracting expressions, as missing a negative can lead to incorrect results.

Find the difference between (x^3 + x^2 + 9x) - (3x^2 + 2x + 3).

Learn how to subtract polynomials such as (x^3 + x^2 + 9x) - (3x^2 + 2x + 3) with a step-by-step solution. This problem covers key algebraic concepts like polynomial subtraction, and it's suitable for students in Grades 7-9.

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