The given expression is:

\[
90x^2 - 9^5 + 63x^3
\]

Let's simplify the expression step by step.

### Step 1: Simplify powers of numbers

First, simplify \(9^5\):
\[
9^5 = 9 \times 9 \times 9 \times 9 \times 9 = 59049
\]

### Step 2: Rewrite the expression

Now substitute \(9^5 = 59049\) into the expression:
\[
90x^2 - 59049 + 63x^3
\]

### Final Expression:

The simplified form of the given expression is:
\[
63x^3 + 90x^2 - 59049
\]

This is a simplified polynomial. If you have any specific operations or evaluations you'd like to perform on this expression, let me know!

Would you like more details or have any questions?

Here are 5 related questions to extend your understanding:
1. How do you factor the expression \(63x^3 + 90x^2 - 59049\)?
2. What is the derivative of \(63x^3 + 90x^2 - 59049\) with respect to \(x\)?
3. How would you solve for \(x\) when \(63x^3 + 90x^2 - 59049 = 0\)?
4. Can you expand \( (9x + 3)(7x^2 + 10x + c) \) to find a similar form?
5. How can you graph the polynomial function \( f(x) = 63x^3 + 90x^2 - 59049 \)?

**Tip:** Always simplify exponents and constants first to make further operations easier!

Learn how to simplify the polynomial expression 90x^2 - 9^5 + 63x^3 with a step-by-step breakdown. This solution covers key algebraic concepts such as polynomial simplification and exponent laws. Suitable for high school students in Grades 9-12.

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