1.
А) -8*(x-0,5)*(x-3)
-8*x^2+28*x-12
D=784-384=400
x1=0,5
x2=3
Б) -3*(x-8)*(x+0,5)
-3*x^2+22.5*x+12
D=506,25+144=650,25
x1=-0,5
x2=8
В) -3*(x+8)*(x-0,5)
-3*x^2-22.5*x+12
D=506,25+144=650,25
x1=0,5
x2=-8
Г) - 8*(x+3)*(x+0,5)
-8*x^2-28*x-12
D=784-384=400
x1=-0,5
x2=-3
2.
А) -2*(x-12)*(x+31)
-2*x^2-38*x+744
D=7396
x1=-31
x2=12
Б) 12*(x-2)*(x-31)
12*x^2-396*x+744
D=121104
x1=31
x2=2
В) -2*(x+12)*(x-31)
-2*x^2+38*x+744
D=7396
x1=31
x2=-12
Г ) (x-2)*(x-12)*(x-31)
x^3-45*x^2+458*x-744
3.
3x^2+14x-5=0
D=256
x1=1/3
x2=-5
(3x-1)*(x+5)=3x^2+14x-5
А) (3х-1) (х+5)
4.
(9х^2-6х+1)/(6х^2+х-1)=(3x-1)^2/(2x+1)(3x-1)=(3x-1)/(2x+1)
A) (3x-1)/(2x+1)
ответ: 120*a^4*b^9*c^2
Решаем по действиям:1. 4*2.5=10 X2.5 _ _4_ 10 2. a*a^2=a^3 a*a^2=a^(1+2) 2.1. 1+2=3 +1 _2_ 33. (-10*a^3*b^3)*(-4*a*b^3)=-10*a^3*b^3*(-4*a*b^3)4. 10*a^3*b^3*(-4*a*b^3)=-10*a^3*b^3*4*a*b^35. 10*4=40 X10 _4_ _ 406. a^3*a=a^4 a^3*a=a^(3+1) 6.1. 3+1=4 +3 _1_ 47. b^3*b^3=b^6 b^3*b^3=b^(3+3) 7.1. 3+3=6 +3 _3_ 68. -(-40*a^4*b^6)=40*a^4*b^69. 40*3=120 X40 _3_ _ 12010. b^6*b^3=b^9 b^6*b^3=b^(6+3) 10.1. 6+3=9 +6 _3_ 9
Решаем по шагам:1. (-10*a*b^3*a^2)*(-4*a*b^3)*c^2*3*b^3 1.1. 4*2.5=10 X2.5 _ _4_ 10 2. (-10*a^3*b^3)*(-4*a*b^3)*c^2*3*b^3 2.1. a*a^2=a^3 a*a^2=a^(1+2) 2.1.1. 1+2=3 +1 _2_ 33. (-10*a^3*b^3*(-4*a*b^3))*c^2*3*b^3 3.1. (-10*a^3*b^3)*(-4*a*b^3)=-10*a^3*b^3*(-4*a*b^3)4. (-(-10*a^3*b^3*4*a*b^3))*c^2*3*b^3 4.1. 10*a^3*b^3*(-4*a*b^3)=-10*a^3*b^3*4*a*b^35. (-(-40*a^3*b^3*a*b^3))*c^2*3*b^3 5.1. 10*4=40 X10 _4_ _ 406. (-(-40*a^4*b^3*b^3))*c^2*3*b^3 6.1. a^3*a=a^4 a^3*a=a^(3+1) 6.1.1. 3+1=4 +3 _1_ 47. (-(-40*a^4*b^6))*c^2*3*b^3 7.1. b^3*b^3=b^6 b^3*b^3=b^(3+3) 7.1.1. 3+3=6 +3 _3_ 68. 40*a^4*b^6*c^2*3*b^3 8.1. -(-40*a^4*b^6)=40*a^4*b^69. 120*a^4*b^6*c^2*b^3 9.1. 40*3=120 X40 _3_ _ 12010. 120*a^4*b^9*c^2 10.1. b^6*b^3=b^9 b^6*b^3=b^(6+3) 10.1.1. 6+3=9 +6 _3_ 9