Algebra › Expressions and identities › Comparing coefficients

Quadratic expression in shifted variables

Middle school · ●●○○○ 20 pts

Given a=2009x+2007a=2009x+2007, b=2009x+2008b=2009x+2008, c=2009x+2009c=2009x+2009, find the value of a2+b2+c2−ab−bc−caa^{2}+b^{2}+c^{2}-ab-bc-ca.

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algebraic identitiescompleting the squaresubstitution