1) y^4-81 = (y^2-9)(y^2+9) = (y+3)(y-3)(y^2+9)2) (x-2)(2x+6) = 0x-2=0 => x=22x+6=0 => 2x=-6 => x=-3Ответ: x=2, x=-33) x^3-9x=0x(x^2-9) = 0x(x-3)(x+3) = 0Ответ: x=0, x=3, x=-34) (4a^2 -4a+1) / (4a^2-1) = ((2a-1)(2a-1))/(2a-1)(2a+1) = (2a-1)/(2a+1)Ответ: (2a-1)/(2a+1)
1) y^4-81 = (y^2-9)(y^2+9) = (y+3)(y-3)(y^2+9)
2) (x-2)(2x+6) = 0
x-2=0 => x=2
2x+6=0 => 2x=-6 => x=-3
Ответ: x=2, x=-3
3) x^3-9x=0
x(x^2-9) = 0
x(x-3)(x+3) = 0
Ответ: x=0, x=3, x=-3
4) (4a^2 -4a+1) / (4a^2-1) = ((2a-1)(2a-1))/(2a-1)(2a+1) = (2a-1)/(2a+1)
Ответ: (2a-1)/(2a+1)