# Step-by-step Solution

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## Step-by-step solution

Problem to solve:

$factor\left(x^2-2x\cdot y+y^2\right)$

Learn how to solve factorization problems step by step online.

$\Delta=b^2-4ac=-2^2-4\left(1\right)\left(1\right) = 0$

Learn how to solve factorization problems step by step online. Factor the expression x^2-2x*y+y^2. The trinomial x^2-2xy+y^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.

$\left(x-y\right)^{2}$
$factor\left(x^2-2x\cdot y+y^2\right)$