Question

помогите, алгебра подготовка к ЕГЭ
$sqrt[4]{(1 - 2x + {x}^{2})( {x}^{2} - 1)(x - 1) } times frac{ sqrt[4]{x + 1} }{ {x}^{2} + 2x - 3}$
при
$- 1 leqslant x leqslant 0$

Answer 1

$sqrt[4]{(1-2x+x^2)(x^2-1)(x-1)} *frac{sqrt[4]{x+1}}{x^2+2x-3} = sqrt[4]{(x-1)^4*(x+1)}*frac{sqrt[4]{x+1}}{x^2+2x-3} = (x-1)*frac{sqrt{x+1}}{x^2+2x-3} = (x-1)*frac{sqrt{x+1}}{(x-1)(x+3)} = frac{sqrt{x+1}}{x+3}\x = -1; frac{sqrt{x+1}}{x+3} = 0;\x = 0; frac{sqrt{x+1}}{x+3} = frac13$

[0; $frac13$]