Question

Разложите на множители
x^3+2x^2-2x-4

Answer 1

${x}^{3} + 2 {x}^{2} - 2x - 4 = ( {x}^{3} - 2x )+ (2 {x}^{2} - 4) = x( {x}^{2} - 2) + 2( {x}^{2} - 2) = ( {x}^{2} - 2)(x + 2) = (x - \sqrt{2} )(x + \sqrt{2} )(x + 2)$