1) - 24ab + 3( 4a + b )^2 = - 24ab + 3( 16a^2 + 8ab + b^2 ) = - 24ab + 48a^2 + 24ab + 3b^2 = 48a^2 + 3b^2 = 3( 16a^2 + b^2 )
2) a = V 7 ; b = V 3
3( 16•7 + 3 ) = 3 • 115 = 345
Y=-3x. -2
y=3x. - 1
y=-1/3x. -3
(sin⁴x + sin²xcos²x)/sin²xcos²x = sin²x(sin²x + cos²x)/sin²xcos²x =
= sin²x·1/sin²xcos²x = 1/cos²x
x>0 y=1/2sinx+1/2sinx=sinx
x<=0 y=-1/2sinx+1/2sinx=0
Cos⁴((3/2)x)-sin⁴((3/2)x)=1/2
(cos²((3/2)x)-sin²((3/2)x))*(cos²((3/2)x)+sin²((3/2)x))=1/2
cos(3x)*1=1/2
cos(3x)=1/2
3x=+/-π/3+2πn
x₁,₂=+/-π/9+(2/3)πn.