Question

Помогите с упражнением 96

Answer 1

$frac{m}{m+n} + frac{2mn}{m^2-n^2} - frac{n}{m-n} = frac{m(m-n)}{m^2-n^2} + frac{2mn}{m^2-n^2} - frac{n(m+n)}{m^2-n^2}$$= frac{m^2-mn+2mn-mn-n^2}{m^2-n^2} = frac{m^2-n^2}{m^2-n^2} =1$


$frac{x^3}{x^2-4} - frac{x}{x-2} - frac{2}{x+2} = frac{x^3}{x^2-4} - frac{x(x+2)}{x^2-4} - frac{2(x-2)}{x^2-4} = frac{x^3-x^2-2x-2x+4}{x^2-4}$$= frac{x^3-x^2-4x+4}{x^2-4} = frac{x^2(x-1)-4(x-1)}{x^2-4} = frac{(x^2-4)(x-1)}{x^2-4} = x-1$

Answer 2

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