Вправи: 148 (1-5)

148. Спростіть вираз:

1) 11+a + a1+a = 1+a1+a = 1;

2) 42-y – 2y2-y = 4-2y2-y = 2(2-y)2-y = 2;

3) 3bb-1 + 1-4bb-1 = 3b+1-4bb-1 = 1-bb-1 = -(b-1)b-1 = –1;

4) 164+y – y2y+4 = 16-y2y+4 = 4-y(4+y)y+4 = 4 – y;

5) aa2- 64 + 8a2- 64 = a+8a2- 64 = a+8a-8(a+8) = 1a-8;

6) -5+ c2c-2 – 12-c = -5+c2c-2 + 1c-2 = -5+c2+ 1c-2 = c2- 4c-2 = c-2(c+2)c-2 = c + 2;

7) n23n-33 + 12133-3n = n23n-33 – 1213n-33 = n2- 1213n-33 = n-11(n+11)3(n-11) = n+113;

8) y2- 4yy2- 4y+4 – 2y4y- y2- 4 = y2- 4y(y-2)2 + 2yy2- 4y+4 = y2- 4y(y-2)2 + 2y(y-2)2 = y2- 4y+2y(y-2)2 = y2- 2y(y-2)2 = y(y-2)(y-2)2 = yy-2.