Question

Помогите сделать номер: 7, 8. Пожалуйста

Answer 1

Ответ:

Объяснение:

7. a^3 + 64 = (a+4)(a^2 - 4a + 16)

8x^3 - y^3 = (2x-y)(4x^2 + 2xy + y^2)

216 - m^3*n^3 = (6-mn)(36 + 6mn + m^2*n^2)

b^9 + a^12 = (b^3 + a^4)(b^6 - b^3*a^4 + a^8)

8. 3a - 3a^3 = 3a(1 - a^2) = 3a(1-a)(1+a)

7x^5 - 7xy^2 = 7x(x^4 - y^2) = 7x(x^2 - y)(x^2 + y)

5x^2*y^6 - 45x^2*b^2 = 5x^2*(y^6 - 9b^2) = 5x^2*(y^3 - 3b)(y^3 + 3b)

3x^2 - 24xy + 48y^2 = 3(x^2 - 8xy + 16y^2) = 3(x-4y)^2

-3a^4 - 12a^3 - 12a^2 = -3a^2*(a^2 + 4a + 4) = -3a^2*(a+2)^2

2a^3 + 54b^6 = 2(a^3 + 27b^6) = 2(a+3b^2)(a^2 - 3ab^2 + 9b^4)

a + 5b + a^2 - 25b^2 = (a+5b) + (a-5b)(a+5b) = (a+5b)(1+a-5b)

ac^6 - ac^4 - c^6 + c^4 = c^4*(ac^2 - a -c^2 + 1) = c^4*(a(c^2-1) - (c^2-1)) =

= c^4*(a-1)(c^2-1) = c^4*(a-1)(c-1)(c+1)