А1.
а)12с² - 6с = 6с(2с-1)
б)24у² - 8у = 8у(3y-1)
в)16х²у² - 4х² = 4х²(4у² - 1)
г) 12х^4 - 18х² + 6х = 6х(2х³ - 3х + 1)
А.2
a) x(b+c)+5b+5c = xb+xc+5b+5c = x(b+c)+6(b+c) = (x+6)(b+c)
б) 4x-4y+ax-ay = 4(x-y)+a(x-y) = (4+a)(x-y)
B1.
x^4-8x³+6x-48 = x³(x-8)+6(x-8) = (x³+6)(x-8)
B2.
am² - 2n - bm² + an + 2m² - bn = m²(a - b - 2) + n(-2 + a - b) = (m² + n)(a - b -2)
X²<span>+bx+16=0
</span> √b²-64<0
√b²<64
b<⁺₋8
b ∈ (-∞ ; -8) ∨ (-8 ; 8 ) ∨ (8 ;+∞)
D<0 ⇒ корней нет.
Ответ : b (-∞ ; 8) ∨ (-8 ; 8) ∨ (8 ;+∞).
9х^2+12х+4+16х^2-1-25х^2+10х-1=0
22х+2=0
х=-1/11