ОДЗ :
x не равен -2
3 (* -2) +6=0
(-2)^2 + 2 *(-2)= 0
1)
2c(c - 4)² - c²(2c - 10) = 2c(c² - 2*c*4 + 4²) - c² * 2c - c² * (-10) =
= 2c(c² - 8c + 16) - 2c³ + 10c² = 2c³ - 16c² + 32c - 2c³ + 10c² =
= (2c³ - 2c³) + (-16c² + 10c²) + 32c = - 6c² + 32c =
= 2c*(- 3c + 16)
при с = 0,2
2*0,2 * (-3*0,2 + 16) = 0,4 * (-0,6 + 16,0) = 0,4 * 15,4 = 6,16
2)
(а - 4b)(4b +a ) = (a - 4b)(a+ 4b) = a² - (4b)² = a² - 16b²
a = 1,2 ; b = -0,6
(1,2)² - 16*(-0,6)² = 1,44 - 16 *0,36 = 1,44 - 5,76 =
= - (5,76 - 1,44)= - 4,32
F(x)=4x+2x²-x³ [0;3]
f`(x)=4-4x-3x²=0
3x²+4x-4=0 D=64
x=2/3 x=-2 ∉ [0;3]
f(0)=4*0+2*0²-0³=0
f(2/3)=4*(2/3)+2*(2/3)²-(2/3)³=8/3+8/9-8/27=(8*9+8*3-8)/27=
=(72+24-8)/27=88/27=3⁷/₂₇=max
f(3)=4*3+2*3²-3³=12+18-27=3