ГДЗ Алгебра 7 класс Мерзляк, Полонский, Якир. Номер 580

ОТВЕТЫ К ЗАДАНИЯМ

Выполните возведение в квадрат:
1)

(10 a^{2} - 7 a b^{2})^{2}

;

2)

(0, 8 b^{3} + 0, 2 b^{2} c^{4})^{2}

;

3)

(30 m^{3} n + 0, 04 n^{2})^{2}

;

4)

(0, 5 x^{4} y^{5} - 20 y^{6})^{2}

;

5)

(113 a^{2} b + 214 a b^{2})^{2}

;

6)

(213 x^{3} y^{2} - 914 y^{8} x)^{2}

;

7)

(15 m^{9} + 56 m^{3})^{2}

;

8)

(318 x^{8} y^{10} + 1625 x^{2} y^{6})^{2}

(10 a^{2} - 7 a b^{2})^{2} = (10 a^{2})^{2} - 2 * 10 a^{2} * 7 a b^{2} + (7 a b^{2})^{2} = 100 a^{4} - 140 a^{3} b^{2} + 49 a^{2} b^{4}

(0, 8 b^{3} + 0, 2 b^{2} c^{4})^{2} = (0, 8 b^{3})^{2} + 2 * 0, 8 b^{3} * 0, 2 b^{2} c^{4} + (0, 2 b^{2} c^{4})^{2} = 0, 64 b^{6} + 0, 32 b^{5} c^{4} + 0, 04 b^{4} c^{8}

(30 m^{3} n + 0, 04 n^{2})^{2} = (30 m^{3} n)^{2} + 2 * 30 m^{3} n * 0, 04 n^{2} + (0, 04 n^{2})^{2} = 900 m^{6} n^{2} + 2, 4 m^{3} n^{3} + 0, 0016 n^{4}

(0, 5 x^{4} y^{5} - 20 y^{6})^{2} = (0, 5 x^{4} y^{5})^{2} - 2 * 0, 5 x^{4} y^{5} * 20 y^{6} + (20 y^{6})^{2} = 0, 25 x^{8} y^{10} - 20 x^{4} y^{11} + 400 y^{12}

(113 a^{2} b + 214 a b^{2})^{2} = (43 a^{2} b)^{2} + 2 * 43 a^{2} b * 94 a b^{2} + (94 a b^{2})^{2} = 169 a^{4} b^{2} + 2 * 11 a^{2} b * 31 a b^{2} + 8116 a^{2} b^{4} = 179 a^{4} b^{2} + 6 a^{3} b^{3} + 5116 a^{2} b^{4}

(213 x^{3} y^{2} - 914 y^{8} x)^{2} = (73 x^{3} y^{2})^{2} - 2 * 73 x^{3} y^{2} * 914 y^{8} x + (914 y^{8} x)^{2} = 499 x^{6} y^{4} - 1 * 11 x^{3} y^{2} * 31 y^{8} x + 81196 y^{16} x^{2} = 499 x^{6} y^{4} - 3 x^{4} y^{10} + 81196 y^{16} x^{2} = 549 x^{6} y^{4} - 3 x^{4} y^{10} + 81196 y^{16} x^{2}

(15 m^{9} + 56 m^{3})^{2} = (15 m^{9})^{2} + 2 * 15 m^{9} * 56 m^{3} + (56 m^{3})^{2} = 225 m^{18} + 25 m^{12} + 2536 m^{6}

(318 x^{8} y^{10} + 1625 x^{2} y^{6})^{2} = (258 x^{8} y^{10})^{2} + 2 * 258 x^{8} y^{10} * 1625 x^{2} y^{6} + (1625 x^{2} y^{6})^{2} = 62564 x^{16} y^{20} + 2 * 11 x^{8} y^{10} * 21 x^{2} y^{6} + 256625 x^{4} y^{12} = 94964 x^{16} y^{20} + 4 x^{10} y^{16} + 256625 x^{4} y^{12}