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The trinomial $x^2+y^2-2xy$ is a perfect square trinomial, because it's discriminant is equal to zero
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$\Delta=b^2-4ac=-2^2-4\left(1\right)\left(1\right) = 0$
Learn how to solve equations problems step by step online. Solve the equation x^2+y^2-2xy=0. The trinomial x^2+y^2-2xy is a perfect square trinomial, because it's discriminant is equal to zero. Using the perfect square trinomial formula. Factoring the perfect square trinomial. Removing the variable's exponent raising both sides of the equation to the power of \frac{1}{2}.