Вправи: 132 (1)

132. Зведіть до спільного знаменника дроби:

1) 1x2-1, 1x3-x2+ x-1, 1x3+x2+ x+1, 1x4-1.

1(x-1)(x+1), 1x2x-1+(x-1), 1x2x+1+(x+1), 1(x2-1)(x2+1).

1\x2+1(x-1)(x+1), 1\x+1(x-1)(x2+1), 1\x-1(x+1)(x2+1), 1(x2- 1)(x2+1).

x2+1(x-1)(x+1)(x2+1), x+1x-1x+1(x2+1), x-1x-1x+1(x2+1, 1(x-1)(x+1)(x2+ 1).

x2+1(x2- 1)(x2+1), x+1(x2- 1)(x2+1), x-1(x2-1)(x2+1), 1(x2- 1)(x2+1).

x2+1x4-1, x+1x4-1, x-1x4-1, 1x4-1.

2) 1x2+3x+2, 1x2+5x+6, 1x2+7x+10

x² + 3x + 2 = x² + x + 2x + 2 = x(x + 1) + 2(x + 1) = (x + 1)(x + 2);

x² + 5x + 6 = x² + 2x + 3x + 6 = x(x + 2) + 3(x + 2) = (x + 2)(x +

+ 3);

x² + 7x + 10 = x² + 2x + 5x + 10 = x(x + 2) + 5(x + 2) = (x + 2)(x + 5).

1\(x+3)(x+5)(x+1)(x+2), 1\x+1+x+5)(x+2)(x+3), 1\(x+1)(x+3)(x+2)(x+5);

(x+3)(x+5)(x+1)(x+2)(x+3)(x+5), (x+1)(x+5)(x+1)(x+2)(x+3)(x+5), (x+1)(x+5)(x+1)(x+2)(x+3)(x+5);

x2+8x+15x+1x+2(x+3)(x+5), x2+6x+5(x+1)(x+2)(x+3)(x+5), x2+4x+3(x+1)(x+2)(x+3)(x+5).