Сравните значения выражений: –c^2 и (-c)^2 при c=-3; 0; 4.

Ответ:

\[- c^{2} < ( - c)^{2}\text{\ \ \ \ \ \ }\]

\[c = - 3:\ \ \ \]

\[- ( - 3)^{2} = - 3^{2} = - 9 < 0;\]

\[\left( - ( - 3) \right)^{2} = 3^{2} = 9 > 0.\]

\[- c^{2} = ( - c)^{2}\text{\ \ \ }\]

\[c = 0:\]

\[- 0^{2} = 0;\ \ \ \ \ \]

\[( - 0)^{2} = 0.\]

\[- c^{2} < ( - c)^{2}\text{\ \ \ \ }\]

\[\ c = 4:\]

\[- 4^{2} = - 16 < 0;\ \ \]

\[( - 4)^{2} = 4^{2} = 16 > 0.\]