ГДЗ по алгебре 7 класс Макарычев ФГОС Задание 912

\[\boxed{\text{912.}\text{\ }еуроки - ответы\ на\ пятёрку}\]

\[\textbf{а)}\ (2b - 5)^{2} - 36 = (2b - 5 - 6)(2b - 5 + 6) = (2b - 11)(2b + 1)\]

\[\textbf{б)}\ 9 - (7 + 3a)^{2} = (3 - 7 - 3a)(3 + 7 + 3a) = ( - 4 - 3a)(10 + 3a)\]

\[\textbf{в)}\ (4 - 11m)^{2} - 1 = (4 - 11m - 1)(4 - 11m + 1) = (3 - 11m)(5 - 11m)\]

\[\textbf{г)}\ p² - (2p + 1)^{2} = (p - 2p - 1)(p + 2p + 1) = ( - p - 1)(3p + 1)\]

\[\textbf{д)}\ (5c - 3d)^{2} - 9d^{2} = (5c - 3d - 3d)(5c - 3d + 3d) = (5c - 6d) \cdot 5c\]

\[\textbf{е)}\ a^{4} - \left( 9b + a^{2} \right)^{2} = \left( a^{2} - 9b - a^{2} \right)\left( a^{2} + 9b + a^{2} \right) = - 9b(2a^{2} + 9b)\]