Ответ:
Объяснение:
1) 100x² - 36y² = (10x)²- (6y)² = (10x - 6y) (10x + 6y)
2) (5a - 4) (5a + 4) = 25a² - 16
3) 49a² - 81b² = (7a)² - (9b)² = (7a - 9b) (7a + 9b)
4) (8 - 7a) (8 + 7a) = 64 - 49a²
5) (a - 3)² = a² - 6a + 9
6) (a + 5)² = a² + 10a + 25
7) (a - 2)³ = a³ - 6a(a - 2) - 8
8) (4a + 2b)³ = 64a³ + 24ab(4a + 2b) + 8b³
27x³ - 8y³ = (3x)³ - (2y)³ = (3x - 2y) (9x² + 6xy + 4y²)
125a³ + 64b³ = (5a)³ + (4b)³ = (5a + 4b) (25a² - 20ab + 16b²)
(x - 5)³ = x³ - 15x(x-5) - 125
(2a + 1)³ = 8a³ + 6a(2a + 1) + 1
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Answers & Comments
Ответ:
Объяснение:
1) 100x² - 36y² = (10x)²- (6y)² = (10x - 6y) (10x + 6y)
2) (5a - 4) (5a + 4) = 25a² - 16
3) 49a² - 81b² = (7a)² - (9b)² = (7a - 9b) (7a + 9b)
4) (8 - 7a) (8 + 7a) = 64 - 49a²
5) (a - 3)² = a² - 6a + 9
6) (a + 5)² = a² + 10a + 25
7) (a - 2)³ = a³ - 6a(a - 2) - 8
8) (4a + 2b)³ = 64a³ + 24ab(4a + 2b) + 8b³
27x³ - 8y³ = (3x)³ - (2y)³ = (3x - 2y) (9x² + 6xy + 4y²)
125a³ + 64b³ = (5a)³ + (4b)³ = (5a + 4b) (25a² - 20ab + 16b²)
(x - 5)³ = x³ - 15x(x-5) - 125
(2a + 1)³ = 8a³ + 6a(2a + 1) + 1