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  • https://ukrayinska.libretexts.org/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0/%D0%90%D0%BB%D0%B3%D0%B5%D0%B1%D1%80%D0%B0/%D0%9A%D0%BD%D0%B8%D0%B3%D0%B0%3A_%D0%95%D0%BB%D0%B5%D0%BC%D0%B5%D0%BD%D1%82%D0%B0%D1%80%D0%BD%D0%B0_%D0%B0%D0%BB%D0%B3%D0%B5%D0%B1%D1%80%D0%B0_(Arnold)/01%3A_%D0%90%D1%80%D0%B8%D1%84%D0%BC%D0%B5%D1%82%D0%B8%D0%BA%D0%B0_%D1%87%D0%B8%D1%81%D0%B5%D0%BB/1.02%3A_%D0%9F%D0%BE%D1%80%D1%8F%D0%B4%D0%BE%D0%BA_%D0%BE%D0%BF%D0%B5%D1%80%D0%B0%D1%86%D1%96%D0%B9
    \[\begin{aligned} x^{2} &-2 x y+y^{2} \quad \color{Red} \text{ Original Expression. } \\ &=(\;\;)^{2}-2(\;\;)()+()^{2} \quad \color{Red} \text{ Replace variables with parenthesis. } \\ &=({\color{Red}...\[\begin{aligned} x^{2} &-2 x y+y^{2} \quad \color{Red} \text{ Original Expression. } \\ &=(\;\;)^{2}-2(\;\;)()+()^{2} \quad \color{Red} \text{ Replace variables with parenthesis. } \\ &=({\color{Red}-3})^{2}-2({\color{Red}-3})({\color{Red}2})+({\color{Red}2})^{2} \quad \color{Red} \text{ Substitute } -3 \text{ for } x \text{ and } 2 \text{ for } y \\ &=9-2(-3)(2)+4 \quad \color{Red} \text{ Evaluate exponenets first. } \\ &=9-(-6)(2)+4 \quad \color{Red} \text{ Left to right, multiply: } 2(-3)=-…