Question

Сократите алгебраическую дробь:

Answer 1

x^4+2x²-3=(x²+3)(x²-1)
x²=a
a²+2a-3=0
a1+a2=-2 U a1*a2=-3
a1=-3 U a2=1
x³-2x²+x-2=x²(x-2)-(x-2)=(x-2)(x²-1)
(x^4+2x²-3)/(x³-2x²-x+2)=(x²+3)(x²-1)/[(x-2)(x²-1]=(x²+3)/(x-2)