Решебник по алгебре 7 класс Мерзляк Задание 678

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\[1)\ x³ - 1 = (x - 1)(x^{2} + x + 1)\]

\[2)\ 27 + a³ =\]

\[= (3 + a)(9 - 3a + a^{2})\]

\[3)\ 216 - y^{3} =\]

\[= (6 - y)(36 + 6y + y^{2})\]

\[4)\frac{1}{8}a³ + b³ =\]

\[= \left( \frac{1}{2}a + b \right)\left( \frac{1}{4}a^{2} - \frac{1}{2}ab + b^{2} \right)\]

\[5)\ a^{6} - 8 =\]

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

\[6)\ a³b³ - c^{3} =\]

\[= (ab - c)(a^{2}b^{2} + abc + c^{2})\]

\[7)\ a³ - b^{15}c^{18} =\]

\[= (a - b^{5}c^{6})(a^{2} + ab^{5}c^{6} + b^{10}c^{12})\]

\[8)\ 125c³d³ + 0,008b³ =\]

\[9)\frac{64}{729}x³ - \frac{27}{1000}y^{6} =\]