Consider the binomial Ax² + Bx
Step 1: factor out A ⇒ A(x² + [tex]\frac{B}{A}[/tex]x)
Step 2: divide the "x" term by 2 ⇒ A(x² + [tex]\frac{B}{2A}[/tex]x)
Step 3: square the coefficient of the "x" term and add it to the binomial ⇒ A(x² + [tex]\frac{B}{2A}[/tex]x + ([tex]\frac{B}{2A}[/tex])²)
Answer: ([tex]\frac{B}{2A}[/tex])²
