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The factorized form of the given expression \( 18y - 6x - 3(x - 3y)^2 \) is:

\[
-3(x - 3y)(x - 3y + 2)
\]

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Here are 5 related questions to explore:
1. How do you expand factored expressions?
2. What is the significance of the negative sign in the factorized form?
3. How would this expression change if we modified the exponents?
4. Can we use the same technique to factor cubic polynomials?
5. How does completing the square relate to factorization?

**Tip**: When factoring complex expressions, always check for common factors first to simplify your work.

Factorise the expression 18y - 6x - 3(x - 3y)^2

Learn how to factor the algebraic expression 18y - 6x - 3(x - 3y)^2 using common factor methods and distributive properties. Explore key algebra concepts with a step-by-step solution suitable for Grades 9-11.

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