This topic focuses on simplifying polynomial expressions of the form \( x^2 + 2x + 1 \), where \( x \) is varied across different problems. These expressions are simplified into one of the following forms: \( (x+1)^2 \), \( (x+1) \), or \( (x-1)^2 \). Each problem presents an expression and multiple-choice answers to identify the correct simplified form. This is part of an advanced unit on polynomials and quadratics. The problems develop skills in recognizing standard polynomial forms and applying algebraic simplifications, particularly involving perfect square trinomials.