Вправи: 36

36. Скоротіть дріб:

1) a(x+2)b(x+2) = ab; 2) 4(a-6)2(a-6)2 = 41 = 4; 3) c3(c-4)5c6(c-4)3 = (c-4)2c3;

4) 2a+2b7(a+b) = 2(a+b)7(a+b) = 27; 5) 7x-21y5x-15y = 7(x-3y)5(x-3y) = 75;

6) 4a-20b12ab = 4(a-5b)12ab = a-5b3ab; 7) 6x+126x = 6(x+2)6x = x+2x;

8) a-5ba2- 5ab = a-5ba(a-5b) = 1a; 9) y2- 2510+2y = y-5(y+5)2(5+y) = y-52;

10) a2+ 4a+49a+18 = (a+2)29(a+2) = a+2(a+2)9(a+2) = a+29;

11) c2- 6c+9c2- 9 = (c-3)2c-3(c+3) = c-3(c-3)c-3(c+3) = c-3c+3;

12) m3+ 1m2- m+1 = m+1(m2- m+1)m2- m+1 = m + 1.