Question:
Factorize: \[ x^3+x-3x^2-3 \]
Solution:
\[ x^3+x-3x^2-3 \]
\[ =x^3-3x^2+x-3 \]
\[ =x^2(x-3)+1(x-3) \]
\[ =(x-3)(x^2+1) \]
\[ \boxed{(x-3)(x^2+1)} \]
Factorize: \[ x^3+x-3x^2-3 \]
\[ x^3+x-3x^2-3 \]
\[ =x^3-3x^2+x-3 \]
\[ =x^2(x-3)+1(x-3) \]
\[ =(x-3)(x^2+1) \]
\[ \boxed{(x-3)(x^2+1)} \]