Вправи: 316

316. Виконайте дії:

a) (x+ yy – 2yy- x) • y- xx2+y2 = xy-x2+y2- xy- 2y2 y(y- x) • y- xx2+y2 = -(x2+y2) y(x2+ y2) = –1y;

б) (2aa+ x + x- aa) : x2+a2 x+ a = 2a2+x2-a2 a(a+ x) • x+ ax2+a2 = x2+a2 a(x2+a2) = 1a;

в) (a + x – 2axa+ x) : (a- xa+ x + xa) = (a+ x)2-2axa+x : a2- ax+ ax+x2 a(a+ x) = (a2+x2)• a(a+ x) a+ x(a2+ x2) = a;

г) (yx – 2yx+ y) • (y + x2+y2 x- y) = yx+y2-2xy x(x+ y) • yx-y2+x2+ y2 x- y = y(y- x)x(x+ y) • x(x+ y)x- y = –y.