To factorize the expression \( (x+1)(5-2x) - (x+1)(x+1) \), we can factor out the common factor \( (x+1) \):
\[ (x+1)(5-2x) - (x+1)(x+1) \]
\[ = (x+1)[(5-2x) - (x+1)] \]
\[ = (x+1)[5 - 2x - x - 1] \]
\[ = (x+1)(4 - 3x) \]
So, the factorized expression is \( (x+1)(4 - 3x) \).
