<span>16x^2+40xb^3+25b^6 = (4*x)^2 +2* 4*x *5*b^3 +(5*b^3)^2 =(4*x+5*b^3)^2
</span>(9-a^2)a^2-2a(9-a^2)+9-a^2 = (3^2-a^2)(<span>a^2-2*a+1</span>) =(3-a)*(3+a)*(a-1)^2
2cos=корень из 2 ( делим все части на 2)
x=+- arccosкорень из 2/2+2 Пk
x=+- П/4+ 2 Пk , k =Z
1) a³-2a²+a-2 = a(a²+1)-2(a²+1) = (a²+1)(a-2).
2) ab-ac-a²+bc = b(a+c)-a(c+a) = b(a+c)-a(a+c) = (a+c)(b-a).
3) x²-4x = x(x-4).
4) 3y³-6y⁶ = 3y³(1-2y³).
5) x⁴+x³ = x³(x+1).
6) 25x²-36y² = (5x-6y)(5x+6y).
7) 81a²-9b² = (<span>9a-3b)(9a+3b).</span>
8) 4x²-16y² = (2x-4y)(2x+4y).
9) x⁵-2x³ = x³(x²-2).
10) x⁴-2x² = x²(x²-2).
11) 64a-a³ = a(64-a²) = a(8-a)(8+a).
<span>12) x</span>⁵<span>+2x</span>⁴<span>-x-2 = x</span>⁴(x+2)-(x+2) = (x+2)(x⁴-1) = (x+2)(x²-1)(x²+1) =
(x+2)(x-1)(x+1)(x²+1).