Question

Сократите дробь

x^4-3x^2-4/(x-2)(x-1)(x+2)

Answer 1

$frac{x^4-3x^2-4}{(x-2)(x+2)(x-1)}=\ \=frac{x^4-8x^2+16+5x^2-20}{(x^2-4)*(x-1)}=\ \=frac{(x^2-4)^2+5x^2-20}{(x^2-4)*(x-1)}=\ \=frac{(x^2-4)^2+5(x^2-4)}{(x^2-4)*(x-1)}=\ \=frac{(x^2-4)+5}{(x-1)}=\ \=frac{x^2+1}{x-1}$