1.
1) 3a(2a³ - 5a² + 2) = 6a⁴ - 15a³ + 6a
2) (a + 5)(2a - 7) = 2a² - 7a + 10a - 35 = 2a² + 3a - 35
3) (9x + y)(4x - 3y) = 36x² - 27xy + 4xy - 3y² = 36x² - 23xy - 3y²
4) (x - 4)(x² + 2x - 3) = x³ + 2x² - 3x - 4x² - 8x + 12 = x³ - 2x² - 11x + 12
2.
1) 9m² - 12mn = 3m(3m - 4n)
2) 15x⁶ - 5x⁴ = 5x⁴(3x² - 1)
3) ax - ay + 7x - 7y = a(x - y) + 7(x - y) = (x - y)(a + 7)
3.
6x² - 24x = 0
6x(x - 4) = 0
6x = 0 или x - 4 = 0
x = 0 x = 4
ответ: 0; 4.
1.
1) 3a(2a³ - 5a² + 2) = 6a⁴ - 15a³ + 6a
2) (a + 5)(2a - 7) = 2a² - 7a + 10a - 35 = 2a² + 3a - 35
3) (9x + y)(4x - 3y) = 36x² - 27xy + 4xy - 3y² = 36x² - 23xy - 3y²
4) (x - 4)(x² + 2x - 3) = x³ + 2x² - 3x - 4x² - 8x + 12 = x³ - 2x² - 11x + 12
2.
1) 9m² - 12mn = 3m(3m - 4n)
2) 15x⁶ - 5x⁴ = 5x⁴(3x² - 1)
3) ax - ay + 7x - 7y = a(x - y) + 7(x - y) = (x - y)(a + 7)
3.
6x² - 24x = 0
6x(x - 4) = 0
6x = 0 или x - 4 = 0
x = 0 x = 4
ответ: 0; 4.