x3-9 = 40b-10b = - c4+27c = 1-c4 = x2 16x4 = nx2+4nx+4n = 4x2y-4xy+y = a3+a2-a-1 = n4+an3-n-a=

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Евгения Новикова

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25 декабря, 08:39

x3-9 = 40b-10b = - c4+27c = 1-c4 = x2 16x4 = nx2+4nx+4n = 4x2y-4xy+y = a3+a2-a-1 = n4+an3-n-a=

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Мирон Воронков · Answer 1

1). x² - 9 = (x - 3) (x + 3);

2). 40 b - 10 b = 30 b;

3). - c^4 + 27 c = c (27 - c³) = c (3 - c) (9 + 3 c + c²);

4). 1 - c^4 = (1 - c²) (1 + c²) = (1 - c) (1 + c) (1 + c²);

5). x² - 16 x^4 = x² (1 - 16 x²) = x² (1 - 4 x) (1 + 4 x);

6). n x² + 4 n x + 4 n = n (x² + 4 x + 4) = n (x + 2) ²;

7). 4 x² y - 4 x y + y = y (4 x² - 4 x + 1) = y (4 x - 1) ²;

8). a³ + a² - a - 1 = (a³ + a²) - (a + 1) = a² (a + 1) - (a + 1) = (a + 1) (a² - 1) =

= (a + 1) (a + 1) (a - 1) = (a + 1) ² (a - 1);

9). n^4 + a n³ - n - a = (n^4 + a n³) - (n + a) = n³ (n + a) - (n + a) =

= (n + a) (n³ - 1) = (n + a) (n - 1) (n² + n + 1).