4 + ( 2 x - ( 4 x - 1 ) ) + x = - 5 - x
-x-(-2x-(3x-1))+4=-3+4x

№1

2) -6 + 4 = -2

3) 6x4 - 30x2 + 36x

4) 12x2 + 4x - 40

5) 2y3 + 8y2 - 2y - 24

№2

1) m(-24 * 5m)

2) -2a2 + 25a - 41

№3

1) (x2 - 3)(x3 + 4)

2) (3x - 4)(9x2 + 2)

№4

При х = 1 и у = 0,45 равно - 4,7

№5

1) x₁ = 0, x₂ = - 1/2

2) x₁ = 0, x₂ = 7

Объяснение:

№1

2) (7x2 - 6x - 6) - (7x2 - 6x - 4) = -6x - 6 + 6x + 4 = -6 + 4 = -2

3) 6x * (x3 - 5x + 6) = 6x4 - 6x * 5x + 6x * 6 = 6x4 - 30x2 + 6x * 6 = 6x4 - 30x2 + 36x

4) (3х – 5)(4х + 8) = 12x2 + 24x - 20x - 40 = 12x2 + 4x - 40

5) (2у + 6)(у2 + у - 4) = 2y3 + 2y2 - 8y + 6y2 + 6y - 24 = 2y3 + 8y2 - 2y - 24

№2

1) 3m(2 + 5m) – 5m(6 + 2m) = m(6 + 15 - 30 - 10m) = m(-24 + 15m - 10m) = m(-24 * 5m)

2) 4(3a - 5) – (a – 3)(2a – 7) = 12a-20-(2a2 - 7a - 6a + 21) = 12a - 20 - 2a2 +13a - 21 = 25a - 41 - 2a2 = -2a2 + 25a - 41

№3 (по формуле x2-3)

1) х5 - 3х3 + 4х2 - 12  = (x2 - 3)(x3 + 4)

2) 27х3 - 36х2 + 6х - 8 = (3x - 4)(9x2 + 2)

№4

18ху + 6х – 24у – 8 при х = 1 и у = 0,45

18ху + 6х – 24у – 8 = 2(3x*(3y+1) - 4(3y+1)) = 2(3y+1)(3x-4)

Если x = 1, y = 0,45, то 2(3*0,45+1)(3*1-4) = - 4,7

№5

1) 12х2 + 6х = 0

6x(2x+1) = 0

x(2x+1) = 0

x = 0

2x + 1 = 0

x = 0

x = - 1/2

ответ: x₁ = 0, x₂ = - 1/2

2) 35х - 5х2 = 0

5x(7-x) = 0

x(7-x) = 0

x = 0

7 - x = 0

x = 0

x = 7

ответ: x₁ = 0, x₂ = 7

Представьте в виде произведения многочлен: 1)3x³+3y³ =3 (x+y)(x^2-xy+y^2)

2)5m^4-320mn³ =5m(m^3 - 64n^3) = 5m[m^3 -(4n)^3] = 5m(m-4n)(m^2+4mn + +16n^2 )

 3)6c^5-6c^8 = 6c^5(1-c^3) = 6c^5(1 - c)(1+c+c^2)

№716.Разложите на множители:

1)с^6+с^9 = c^6(1 + c^3) = c^6(1+c)(1-c+c^2)

2)m^9-n^9 = (m^3)^3 - (n^3)^3 = (m^3 - n^3)(m^6 +m^3n^3 +n^6

 3)a^8-b^4 = a^5*a^3 - b*b^3 = (a^5*a - b*b)[(a^5*a)^2 +a^5*a*b*b + (b*b)^2] =

= (a^6 - b^2)(a^12 + a^6b^2 + b^4)

№718.Разложите на множители:
1)15сx+2cy-cxy-30c = 15c(x-2) - cy(x-2) = (x-2)(15c -cy) = c(15-y)(x-2)

2)35a²-42ab+10a²b-12ab² = 5a² (7+2b) - 6ab(7+2b) = ((7+2b)(5a²  - 6ab) =

=a(5a-6b)(7+2b)

 3)x³+x²y+x²+xy = x²(x+1) + xy(x+1) = (x+1)(x² + xy)

4)mn^4-n^4+mn³-n³  = n^4(m-1) + n^3(m-1) = (m-1)(n^4+n^3)