3a) C⁴ * C⁷ :C⁹ = C⁴⁺⁷⁻⁹ = C²
б) (a⁴)³ * a = a¹² * a = a¹³
в) (- 2x)⁴ = 16x⁴
4a) 20³ * 0,5³= (20 * 0,5 )³ = 10³ = 1000
б) (4 * 2⁵) / 2⁷ = (2² * 2⁵) / 2⁷ = 2⁷ / 2⁷ = 1
5) [(y²)³]⁴ = (y⁶)⁴ = y²⁴
Решение во вложениииииииииииииииииииииииии
1) 3X^2 + 2X - 1 = ( X + 1)*(X - 1\3)
D = 4 - 4*3*(-1) = 16 ( V D = 4)
X1 = ( - 2 + 4 ) \ 6 = 2\6 = 1\3
X2 = - 6 \ 6 = - 1
2) 4X + 4 = 4*(X +1)
3) вся дробь после сокращения: 4 \ ( Х - 1\3) - ( ОТВЕТ )
xy(x-1)(y-1)=72
(x+1)(y+1)=20
xy(xy + 1 - (x+y)) = 72
xy + x+y + 1 = 20 x+y = 19 - xy
xy(xy + 1 - 19 + xy) = 72
2(xy)^2 - 18 xy - 72 = 0
(xy)^2 - 9xy - 36 = 0
D = 81 + 144 = 225
(xy)₁₂ = (9+-15)/2 = 12 -3
1. xy=12
(x-1)(y-1)=6
xy - x - y + 1 = 6
x+y=7
x=7-y
(7-y)y = 12
y^2-7y + 12=0
D=49 - 48 = 1 y₁₂ = (7+-1)/2 = 3 4 x₁₂ = 4 3
2. xy = -3
(x-1)(y-1)=- 24
xy - x - y + 1 = -24
x+y = 25 + xy
x+y=22
x=22-y
(22-y)y = -3
y^2-22y - 3=0
D=484+ 12 = 496 y₃₄ = (22+-4√31)/2 = 11+-2√31 x₃₄ = 11-+2√31
ответ (3, 4) (4, 3) (11+2√31, 11-2√31) (11-2√31, 11+2√31)
X*(x-3)=0; x=0 или x-3=0. x1=0, x2=3. Ответ: x1=0, x2=3.