1) 3 / (2 х^2+2x) + (2x-1) / (x^2-1) - 2/x 2) 4m / (4m^2-1) - (2m+1) / (6m-3) + (2m-1) / (4m+2)

Question

Кира Петрова

Математика

1 января, 17:31

1) 3 / (2 х^2+2x) + (2x-1) / (x^2-1) - 2/x 2) 4m / (4m^2-1) - (2m+1) / (6m-3) + (2m-1) / (4m+2)

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Alazar · Answer 1

Упростим:

1) 3 / (2 * х^2 + 2 * x) + (2 * x - 1) / (x^2 - 1) - 2/x;

Упростим.

3 / (2 * х * (x + 1)) + (2 * x - 1) / ((x + 1) * (x - 1)) - 2/x;

(3 * (x - 1) + (2 * x - 1) * 2 * x - 2 * 2 * (x^2 - 1)) / (2 * x * (x + 1) * (x - 1);

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

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

(x + 1) / (2 * x * (x^2 - 1));

1 / (2 * x * (x - 1)).

2) 4 * m / (4 * m^2 - 1) - (2 * m + 1) / (6 * m - 3) + (2 * m - 1) / (4 * m + 2);

(4 * m * (6 * m - 3) - (2 * m + 1) * (4 * m^2 - 1) + (2 * m - 1) * (4 * m - 2) * (6 * m - 3)) / ((4 * m^2 - 1) * (6 * m - 3));

(24 * m^2 - 12 * m - 8 * m^3 + 2 * m - 4 * m^2 + 1 + (8 * m^2 - 8 * m + 2) * (6 * m - 3) / ((4 * m^2 - 1) * (6 * m - 3));

(20 * m^2 - 10 * m - 8 * m^3 + 1 + 48 * m^3 - 24 * m^2 - 48 * m^2 + 24 * m + 12 * m - 6) / ((4 * m^2 - 1) * (6 * m - 3));

(-52 * m^2 + 26 * m + 40 * m^3 - 5) / ((4 * m^2 - 1) * (6 * m - 3)).