Вправи: 108

108. Подайте у вигляді дробу вираз:

1) 1 – a + a2- 2a+2 = 1- a\a+22 + a2- 2a+2 = a+21-a+ (a2- 1)a+2 = a- a2+ 2-2a+ a2- 2a+2 = -aa+2 = –aa+2;

2) a2- b23a+b + (3a – b) = a2- b23a+b + 3a- b\3a+b1 = a2- b2+ (3a+b)(3a-b)3a+b = a2- b2+ 9a2- b23a+b = 10a2- 2b23a+b;

3) c2+ 9c-3 – c – 3 = c2 + 9c-3 – (c + 3) = c2+ 9\1c-3 + c + 3\c-31 = c2+ 9-c-3(c+3)c-3 = c2+ 9-(c2- 9)c-3 = c2+ 9- c2+ 9c-3 = 18c-3;

4) 8m24m-3 – 2m – 1 = 8m24m-3 – (2m + 1) = 8m24m-3 – 2m+ 1\4m-31 = 8m2- (2m+1)(4m-3)4m-3 = 8m2- (2m2- 6m+4m-3)4m-3 = 8m2- 2m2+ 2m+34m-3 = 6m2+ 2m+34m-3.