The expression given is:

\[
63x^3 + 54x^2 - 105 \times (-90)
\]

First, we need to simplify the term \(-105 \times (-90)\):

\[
-105 \times (-90) = 9450
\]

Now substitute this back into the original expression:

\[
63x^3 + 54x^2 + 9450
\]

So, the simplified expression is:

\[
63x^3 + 54x^2 + 9450
\]

Would you like further details or have any questions?

Here are 5 related questions to deepen your understanding:
1. How do you factor a cubic expression like \(63x^3 + 54x^2\)?
2. What is the significance of multiplying two negative numbers?
3. How can we solve \(63x^3 + 54x^2 + 9450 = 0\) for \(x\)?
4. How does the degree of the polynomial affect its graph?
5. What are the general steps for simplifying algebraic expressions?

**Tip:** Always simplify multiplication of constants first when simplifying complex algebraic expressions!

Discover how to simplify the cubic expression 63x³ + 54x² - 105 × -90 with a step-by-step solution. This problem involves key algebraic concepts like simplifying cubic expressions and multiplication of negative constants. Ideal for students in Grades 9-11.

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