1.
а) x²-2x-8
б) 8a²+10ab-3b²
в) y³-7y²+13y-15
2.
a) (x-y)(a+4)
б) (x-y)(3+a)
3.
y²-yb-ya+ab=y²-yb-ya+ab
4.
y(y+3)=0
y1=0
y2=-3
8x²+2x−21≥21<span>
8x</span>²+2x−21≥0<span>Решим квадратное уравнение
</span><span>8x</span>²<span>+2x−21=0
Д=4-4*8*(-21)=676
</span>√Д=26
х₁=(-2+26)/16=24/16=3\2
х₂=(-2-26)/16=-28/16=-7/4=-1 ц 3/4
<span>x∈<span>(<span>−∞;−</span></span></span>1 ц 3/4]∪[1,5;+∞)или<span>x≤−1ц 3/<span>4</span>; x≥1,5</span>
<span>1) (4-5y)(5y+4)=20у+16-25у^2-20у=16-25у^2</span>
<span><span> 2) (x-8)^2=x^2-16х+64</span></span>
1. 1/4m^2 - 16n^2=(1/2m-4n)(1/2m+4n)
2. x^12-y^2=(x^6-y)(x^6+y)
3. 1/4-c^4=(1/2-c^2)(1/2+c^2)
4. x^4-y^4=(x^2-y^2)(x^2+y^2)=(x-y)(x+y)(x^2+y^2)