Решебник по алгебре 7 класс Мерзляк Задание 704

\[\boxed{\text{704\ (704).\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]

\[1)\ 3x² + 12\text{xy} = 3x(x + 4y)\]

\[2)\ 10m^{5} - 5m = 5m(2m^{4} - 1)\]

\[3)\ \text{ab} - \text{ac} + 7b - 7c =\]

\[= a(b - c) + 7(b - c) =\]

\[= (b - c)(a + 7)\]

\[4)\ 6x - xy - 6y + y^{2} =\]

\[= 6 \cdot (x - y) - y(x - y) =\]

\[= (x - y)(6 - y)\]

\[5)\ 49b² - c^{2} = (7b - c)(7b + c)\]

\[6)\ p² + 12pk + 36k² = (p + 6k)²\]

\[7)\ 100a^{4} - \frac{1}{9}b^{2} =\]

\[= \left( 10a^{2} - \frac{1}{3}b \right)\left( 10a^{2} + \frac{1}{3}b \right)\]

\[8)\ 25a² - (a - 3)^{2} =\]

\[= (5a - a + 3)(5a + a - 3) =\]

\[= (4a + 3)(6a - 3)\]