October 2018 2 16 Report

Uzasadnij , że dla każdej liczby rzeczywistej x podane wyrażenie przyjmuje stałą wartość.

a). (2x-1)^{2} - 3(x+\sqrt{2})(x-\sqrt{2}) - (x-2)^{2}

b). (2-\sqrt{2x})x^{2} - 2(2-\sqrt{2x})(1-\sqrt{2x})+(1-\sqrt{2x})x^{2}

c). (\sqrt{3}-\sqrt{2x})^{2} + 2(\sqrt{3}-\sqrt{2x})(\sqrt{3}+\sqrt{2x})+(\sqrt{3}+\sqrt{2x})^{2}


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