Решебник по алгебре 7 класс Мерзляк ФГОС Задание 844

 

\[\boxed{\text{844\ (844).\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]

\[если\ x = 2:\ \ \ \ \ \ \]

\[{\ a}^{2} - 2 \cdot 2 = a^{2} - 4 =\]

\[= (a - 2)(a + 2);\]

\[если\ x = 8:\ \]

\[\ a^{2} - 2 \cdot 8 = a^{2} - 16 =\]

\[= (a - 4)(a + 4);\]

\[если\ x = 18:\ \]

\[a^{2} - 2 \cdot 18 = a^{2} - 36 =\]

\[= (a - 6)(a + 6).\]

\[\boxed{\text{844.\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]

\[1)\ 12b² - 12c^{2} =\]

\[= 12 \cdot \left( b^{2} - c^{2} \right) =\]

\[= 12 \cdot (b - c)(b + c)\]

\[2)\ 2a²c - 2b^{2}c =\]

\[= 2c\left( a^{2} - b^{2} \right) =\]

\[= 2c(a - b)(a + b)\]

\[3)\ 5a² - 20 = 5 \cdot \left( a^{2} - 4 \right) =\]

\[= 5 \cdot (a - 2)(a + 2)\]

\[4)\ 3mn² - 48m =\]

\[= 3m\left( n^{2} - 16 \right) =\]

\[= 3m(n - 4)(n + 4)\]

\[5)\ 7y³ - 7y = 7y\left( y^{2} - 1 \right) =\]

\[= 7y(y - 1)(y + 1)\]

\[6)\ a³ - a^{5} = a^{3}\left( 1 - a^{2} \right) =\]

\[= a³(1 - a)(1 + a)\ \]