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The fully factorized form of the given expression \( 4(4x - 3)^2 + 21(4x - 3) - 18 \) is:

\[
(4x + 3)(16x - 15)
\]

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Here are five related questions:
1. How do you expand a factored quadratic expression?
2. Can you solve for \(x\) if the expression equals 0?
3. How can factoring help in solving quadratic equations?
4. What is the general method for factoring quadratics?
5. What types of polynomials can be factored?

**Tip:** Factoring is a useful technique in algebra to simplify expressions and solve equations by transforming them into a product of simpler terms.

Factorise fully: 4(4x - 3)^2 + 21(4x - 3) - 18

Learn how to factorize the quadratic expression 4(4x - 3)^2 + 21(4x - 3) - 18 with a detailed step-by-step explanation. Understand key algebraic techniques, including factoring and simplifying quadratic expressions. Suitable for high school students.

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