Question

Произведение корней уравнения $(x^2+x-2)(x^2+x+2)=-2$ равно

Answer 1

$( {x}^{2} + x - 2) times ( {x}^{2} + x + 2) - 2 = ( {x}^{2} + x) ^{2} - 4 - 2 = x^{4} + 2 {x}^{3} + {x}^{2} - 4 - 2 = {x}^{4} + 2 {x}^{3} + {x}^{2} - 6$