А(а+6)(а²+6а+8)=a(37a³+12a²+8a+42)=37a₄+12a³+8a²+42a=945
1) 1. -2x(1-x)+(2x-3)(x-1)=-2x+2x^2+2x^2-2x-3x+3=4x^2-7x+3
2. 4(1+3x)^2-24x=4(1+6x+9x^2)-24x=4+24x+36x^2-24x=36x^2+4=4(9x^2+1)
3. (x+4)(x-4)-(x-3)^2=x^2-16-(x^2-6x+9)=x^2-16-x^2+6x-9=6x-25
2)1. y-100y^3=y(1-100y^2)=y(1-10y)(1+10y)
2. 7a^2-14ab+7b^2= 7a^2-7ab-7ab+7b^2=(7a^2-7ab)+(-7ab+b^2)=7a(a-b)-7b(a-b)=(a-b)(7a-7b)=7(a-b)(a-b)
4)xy^2-x+5-5y^2=(xy^2-x)+(5-5y^2)=x(y^2-1)-5(y^2-1)=(y^2-1)(x-5)
<span>√16x^2+24x+9=5
16</span>²+24x+9-5=0
16x²+24x+4=0
4x²+6x+1=0
D=b² -4ac=6²-4*4*1=20
x₁.₂=-b+-√D/2a
x₁=-6-2√5/2*4=-3-√5/4 x₂=-6+2√5/2*4=-3+√5/4
x=-3-√5/4 x==3+√5/4