ГДЗ по алгебре 7 класс Макарычев ФГОС Задание 1032

\[\boxed{\text{1032.}\text{\ }еуроки - ответы\ на\ пятёрку}\]

\[\textbf{а)}\ x^{2}(x + 2y) - x - 2y =\]

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

\[= (x + 2y)\left( x^{2} - 1 \right) =\]

\(= (x + 2y)(x - 1)(x + 1)\)

\[\textbf{б)}\ x^{2}(2y - 5) - 8y + 20 =\]

\[= x^{2}(2y - 5) - 4 \cdot (2y - 5) =\]

\[= (2y - 5)\left( x^{2} - 4 \right) =\]

\[= (2y - 5)(x - 2)(x + 2)\]

\[\textbf{в)}\ a³ - 5a^{2} - 4a + 20 =\]

\[= a^{2}(a - 5) - 4 \cdot (a - 5) =\]

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

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

\[\textbf{г)}\ x³ - 4x^{2} - 9x + 36 =\]

\[= x^{2}(x - 4) - 9 \cdot (x - 4) =\]

\[= (x - 4)\left( x^{2} - 9 \right) =\]

\[= (x - 4)(x - 3)(x + 3)\ \]