Вопрос:

Сравните значения выражений: –y^3 и (-y)^3 при y=-4; 0; 5.

Ответ:

\[- y^{3} = ( - y)^{3}\text{\ \ \ }\]

\[\ y - 4:\]

\[- ( - 4)^{3} = 4^{3} = 64;\]

\[\left( - ( - 4) \right)^{3} = 4^{3} = 64.\]

\[- y^{3} = ( - y)^{3}\text{\ \ \ }\]

\[y = 0:\]

\[- 0^{3} = 0;\ \ \]

\[( - 0)^{3} = 0.\]

\[- y^{3} = ( - y)^{3}\text{\ \ \ \ }\]

\[y = 5:\]

\[- 5^{3} = - 125;\]

\[( - 5)^{3} = - 5^{3} = - 125.\]

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