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- Derivative
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The trinomial $x^2-4xy+4y^2$ is a perfect square trinomial, because it's discriminant is equal to zero
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$\Delta=b^2-4ac=-4^2-4\left(1\right)\left(4\right) = 0$
Learn how to solve equations problems step by step online. Solve the equation (x-2y)^2=x^2-4xy4y^2. The trinomial x^2-4xy+4y^2 is a perfect square trinomial, because it's discriminant is equal to zero. Using the perfect square trinomial formula. Factoring the perfect square trinomial. If the bases are the same, then the exponents must be equal to each other.