To expand the expression \((x - 3)^3\), we can use the binomial theorem or perform the expansion step-by-step.
Using the binomial expansion formula \((a - b)^3 = a^3 - 3a^2b + 3ab^2 - b^3\), we identify \(a = x\) and \(b = 3\):
\[ (x - 3)^3 = x^3 - 3(x^2)(3) + 3(x)(3^2) - 3^3 \]
Calculating each term:
- \(x^3\)
- \(-3(x^2)(3) = -9x^2\)
- \(3(x)(3^2) = 3(x)(9) = 27x\)
- \(-3^3 = -27\)
Now, combine these results:
\[ (x - 3)^3 = x^3 - 9x^2 + 27x - 27 \]
Thus, the expanded polynomial in standard form is:
\[ \boxed{x^3 - 9x^2 + 27x - 27} \]