Completing the square
The process of adding $(b/2)^2$, which is the square of half of the coefficient of $x$ in the expression $x^2 + bx$, to the expression. Consequently, \({x^2} + bx + {\left( {\frac{b}{2}} \right)^2} = {\left( {x + \frac{b}{2}} \right)^2}\).
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