Відповіді до вправ § 1 - § 12: 3.10

3.10 Виконайте дію:

1) x2x-5 – 25x-5 = x2- 25x-5 = x-5(x+5)x-5 = x + 5;

2) 36y+6 – y2y+6 = 36- y2y+6 = 6-y(6+y)6+y = 6 – y;

3) x-3x2- 9 + 6x2- 9 = x-3+6x2- 9 = x+3x2- 9 = x+3x-3(x+3) = 1x-3;

4) 7a-1a2- b2 – 7b-1a2- b2 = 7a-1-(7b-1)a2- b2 = 7a-1-7b+1a2- b2 = 7a-7ba2- b2 = 7(a-b)a-b(a+b) = 7a+b;

5) 2x+y(x-y)2 + x-4y(x-y)2 = 2x+y+x-4y(x-y)2 = 3x-3y(x-y)2 = 3(x-y)(x-y)2 = 3x-y;

6) 9m+5n(m+n)2 – m-3n(m+n)2 = 9m+5n-(m-3n)(m+n)2 = 8m+8n(m+n)2 = 8(m+n)(m+n)2 = 8m+n.