Вправи: 163

163. Спростіть вираз:

1) 3x-1\32 + x-26 – 2x-3\23 = 9x-3+x-2-4x+66 = 6x+16;

2) 2a-3b\a5ab2 – 2b-3a\b5a2b = a2a-3b( -b(2b-3a)5a2b2 = 2a2- 3ab- 2b2+ 3ab5a2b2 = 2a2- 2b25a2b2;

3) x-y2xy-3y2 – y-x3xy-2x2 = x-yy(2x-3y) – y-xx(3y-2x) = x-y\xy(2x-3y) + y-x\yx(2x-3y) = x2- xy+ y2- xyxy(2x-3y) = x2- 2xy+ y2xy(2x-3y) = (x-y)2xy(2x-3y);

4) 3y-x\521x2y2 – 5x-y\335x3y = 15y-5x-15x+3y105x3y2 = -20x+18y105x3y2.