<span>(x+y)^2+2x(3x-y)</span><span> =x</span><span>²+2xy+y</span><span>²+6x</span><span>²-2xy=7x</span><span>²+y</span><span>²=7*1</span><span>²+(</span><span>√2)</span><span>²=9</span>
А)а6 = а1+5d = 23;
a11 = a1+10d = 48;
a11-a6 = 5d = 25;
d=5;
подставим в а6: 23 = a1 + 5*5=a1+25;
a1=23-25=-2.
б)a4=a1+3d=4;
a12=a1+11d=12;
a12-a4=8d=8;
8d=8 => d=1;
a1+3d=4 => a1 = 4 -3*1;
a1=4-3=1;
a1=1
1)y`=3x²+2x-16=0
D=4+192=196
x1=(-2-14)/6=-8/3∉[-1;4]
x2=(-2+14)/6=2∈[-1;4]
y(-1)=-1+1+16=16наиб
y(2)=8+4-32=-20наим
y(4)=64+16-64=16наиб
2)y`=3x²+8x+4=0
D=64-48=16
x1=(-8-4)/6=-2∈[-3;-1]
x2=(-8+4)/6=-2/3∉[-3;-1]
y(-3)=-27+36-12=-3наим
y(-2)=-8+16-8=0наиб
y(-1)=-1+4-4=-1
3)y`=3x²-8x-3=0
D=64+36=100
x1=(8-10)/6=-1/3∉[1;5]
x2=(8+10)/6=3∈[1;5]
y(1)=1-4-3=-6
y(3)=27-36-9=-18наим
y(5)=125-100-15=10наиб
4)y`=3x²+10x+3=0
D=100-36=64
x1=(-10-8)/6=-3∈[-4;-1]
x2=(-10+8)/6=-1/3∉[-4;-1]
y(-4)=-64+80-12=4
y(-3)=-27+45-9=9наиб
y(-1)=-1+5-3=1наим
1) 2a^2
2) 3x^2
3)3m^5
4)3b^2
5)2x^3
6)2a^2 + 2b^3
7) 3x^2 / 2x^3