Решебник по алгебре 7 класс Мерзляк Задание 720

\[\boxed{\text{720\ (720).\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]

\[1)\ \left( m^{2} - 2m \right)^{2} - 1 =\]

\[= (m^{2} - 2m - 1)(m^{2} - 2m + 1)\]

\[2)\ 16 - \left( m^{2} + 4m \right)^{2} =\]

\[= (4 - m^{2} - 4m)(4 + m^{2} + 4m)\]

\[3)\ x² - 18xy + 81y^{2} - z^{2} =\]

\[= (x - 9y)^{2} - z^{2} =\]

\[= (x - 9y + z)(x - 9y - z)\]

\[4)\ 64x² + 48xy + 9y² - 144 =\]

\[= (8x + 3y)^{2} - 144 =\]

\[= (8x + 3y - 12)(8x + 3y + 12)\]

\[5)\ c² - a^{2} + 22a - 121 =\]

\[= c^{2} - (a - 11)^{2} =\]

\[= (c - a + 11)(c + a - 11)\]

\[6)\ 100 - 25y^{2} - 60x^{2}y - 36x^{4} =\]

\[= 100 - \left( 5y + 6x^{2} \right)^{2} =\]

\[= (10 - 5y - 6x^{2})(10 + 5y + 6x^{2})\]