Вправи: 404

404. Спростіть вираз:

1) a2a+3 – 9(a + 3)^–1 = a2a+3 – 9a+3 = a2-9a+3 = a-3(a+3)a+3 = a – 3;

2) pm- p – m(m – p)^–1 = pm- p – mm- p = p- mm- p = –m- pm- p = –1;

3) x3x+ y – (x³ – y)(x + y)^–1 = x3x+ y – x3- yx+ y = x3-x3+ y x+ y = yx+ y;

4) 1m- p + p(m – p)^–2 = 1\m-pm- p + p(m- p)2 = m- p+ p(m- p)2 = m(m- p)2.