Check if ax²+bx+c is a perfect square trinomial and factor it as (px+q)². Every check shown step by step.
A perfect square trinomial has the form a² + 2ab + b² = (a+b)² or a² − 2ab + b² = (a−b)². The conditions are: (1) first and last terms are perfect squares, and (2) the middle term equals ±2×√a×√c.