Вправи: 522

522. Скоротіть дріб:

1) x-25x- 5 = (x)2- 52x- 5 = x- 5x+ 5x- 5 = x + 5;

2) a+ 2a-4 = a+ 2(a)2- 22 = (a+ 2)a- 2(a+ 2) = 1a- 2;

3) a-3a+ 3 = (a)2- (b)2a+ 3 = a- 3(a+ 3)(a+ 3) = a – 3;

4) 10+ 55 = 5 • 2 + 55 = 5(2+ 1)5 = 2 + 1;

5) 23- 2323 = (23)2 - 2323 = 23(23- 1)23 = 23 – 1;

6) 24- 2854- 63 = 4 • 6- 4 • 79 • 6- 9 • 7 = 26- 2736- 37 = 2(6- 7)3(6- 7) = 23;

7) a - ba - 2ab + b = a- b(b)2 - 2a • b + (b)2 = (a - b)(a - b)2 = 1a- b;

8) b - 8b + 16b - 4 = (b)2- 2 • 4b + 42b - 4 = (b - 4)2(b - 4) = b – 4.