The provided mathematical expression is:

$(3x - 3)^2$

Expanding the expression:

To expand this, use the square of a binomial formula: $(a - b)^2 = a^2 - 2ab + b^2$

Here:

• $a = 3x$
• $b = 3$

1. $a^2 = (3x)^2 = 9x^2$
2. $-2ab = -2(3x)(3) = -18x$
3. $b^2 = (3)^2 = 9$

Combine these terms: $(3x - 3)^2 = 9x^2 - 18x + 9$

Final result:

$(3x - 3)^2 = 9x^2 - 18x + 9$

Would you like me to explain any part of this process in more detail or solve related problems?

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Related Questions:

1. What is the general formula for expanding $(a \pm b)^2$?
2. How do you factorize $9x^2 - 18x + 9$ back into $(3x - 3)^2$?
3. What is the derivative of $(3x - 3)^2$?
4. Can you graph $y = (3x - 3)^2$ and interpret its features?
5. How does completing the square relate to expanding this expression?

Tip:

Always double-check each term when expanding or simplifying expressions—it's easy to miss coefficients or signs!