ГДЗ по алгебре 8 класс Макарычев ФГОС Задание 845

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\[\textbf{а)}\ a(a + b) \geq ab\]

\[a^{2} + ab \geq ab\]

\[a² \geq 0\ \]

\[\textbf{б)}\ m² - mn + n^{2} \geq mn\]

\[m^{2} - 2mn + n^{2} \geq 0\]

\[(m - n)^{2} \geq 0\]

\[\textbf{в)}\ 10a² - 5a + 1 \geq a^{2} + a\]

\[9a^{2} - 6a + 1 \geq 0\]

\[(3a - 1)^{2} \geq 0\]

\[\textbf{г)}\ 2bc \leq b^{2} + c²\]

\[b^{2} - 2bc + c^{2} \geq 0\]

\[(b - c)^{2} \geq 0\]

\[\textbf{д)}\ a(a - b) \geq b(a - b)\]

\[a^{2} - ab \geq ab - b^{2}\]

\[a^{2} - 2ab + b^{2} \geq 0\]

\[(a - b)^{2} \geq 0\]

\[\textbf{е)}\ a² - a \leq 50a^{2} - 15a + 1\]

\[0 \leq 49a^{2} - 14a + 1\]

\[(7a - 1)^{2} \geq 0\ \]