Question

Разложить на множители 1) 3х^2-12=3(x^2-4)=3(x-2)(x+2) 2) bx^2-9b 3) 50b-2a^2b 4) 2cx^2-2с 5) 2p^2-98a^2 6) -3a^3+3ab^2 7) 2x^2y-2y^3 8) a^3c-ac^3

Answer 1

Ответ:

Объяснение:

2) =b(x^2-9)=b(x-3)(x+3)

3) =2b(25-a^2)=2b(5-a)(5+a)

4) =2c(x^2-1)=2c(x-1)(x+1)

5) =2(p^2-49a^2)=2(p-7a)(p+7a)

6) = -3a(a^2-b^2)= -3a(a-b)(a+b)

7) =2y(x^2-y^2)=2y(x-y)(x+y)

8) =ac(a^2-c^2)=ac(a-c)(a+c)

Answer 2

1. 3x^2 - 12 = 3(x^2 - 4) = 3(x - 2)(x + 2)
2. bx^2 - 9b = b(x^2 - 9) = b(x - 3)(x + 3)
3. 50b - 2a^2b = 2b(25 - a^2)
4. 2cx^2 - 2c = 2c(x^2 - 1) = 2c(x - 1)(x + 1)
5. 2p^2 - 98a^2 = 2(p^2 - 49a^2) = 2(p - 7a)(p + 7a)
6. -3a^3 + 3ab^2 = -3a(a^2 - b^2) = -3a(a - b)(a + b)
7. 2x^2y - 2y^3 = 2y(x^2 - y^2) = 2y(x - y)(x + y)
8. a^3c - ac^3 = ac(a^2 - c^2) = ac(a - c)(a + c)