Сократите дробь ( : - знак дроби ) 9x^5-40x^3+16x : 3x^4 - 8x^3 + 4x^2

9x^5-40x³+16x=x(9x^4-40x²+16)=9x(x²-4/9)(x²+32/9)=x(x-2/3)(x+2/3)(9x²+32) 9x^4-40x²+16=9(x²-4/9)(x²+32/9) x²=a 9a²-40a+16=0 D=1600-576=1024 a1=(40-32)/18=4/9 U a2=((40+32)/18=32/9 3x^4-8x³+4x²=x²(3x²-8x+4)=3x(x-2/3)(x-2) D=64-48=16 x1=(8-4)/6=2/3 U x2=(8+4)/6=2 (9x^5-40x³+16x)/(3x^4-8x³+4x²)=x(x-2/3)(x+2/3)(9x²+32)/3x²(x-2/3)(x-2)= =(3x+2)(9x²+32)/9x(x-2)