√(-8)^4=I(-8)^2I=64
Используем тождество: √x^2=IxI
1
1)(5+a)/2a²+(1-2a)/a=(5+a+2a-4a²)/2a²=(5+3a-4a²)/2a²
2)2(x+2)/12x²*3x/(x+2)=1/x
3)(m+n)²*8m/(m-n)(m+n)=8m(m+n)/(m-n)
2
1)(y-3)(y+3)/y³*y/(3+y)=(y-3)/y²
2)3/y-(y-3)/y²=(3y-y+3)/y²=(2y+3)/y²
3
(5a+b)(5a-b)/(5a-b)²*2(b-5a)/[a(5a+b)]=-2/a
a=25,b=56
-2/25=-0,08
4
1)2n/(3+n)+9/(n²-3n+9)-(n³-15n²)/(n+3)(n²-3n+9)=
=(2n³-6n²+18n+27+9n-n³+15n²)/[(n+3)(n²-3n+9)]=
=(n+3)³/[(n+3)(n²-3n+9)]=(n+3)²/(n²-3n+9)
2)n+3-9n/(n+3)=(n²+6n+9-9n)/(n+3)=(n²-3n+9)/(n+3)
3)(n+3)²/(n²-3n+9)*(n²-3n+9)/(n+3)*1/(n+3)=1
Y(x) = 2^(x^3) - 2x*sin(3x)
y`(x) = 3*2^(x^2)*2^(x^3)*ln(2) - 2sin(3x) - 6x*cos(3x)
y`(x) = 2*0.9x - 5.6x = 1.8x - 5.6x = - 3.8 x
y(x) = - 1.9 x^2