Вправи: 386

386. Спростіть вираз:

1) (1 – y)² • (1 – y)^–2 = (1 – y)⁰ = 1;

2) (a – b)^–5 • (a – b)³ = (a – b)^–2;

3) (x – y)^–4 • (x – y)^–6 = (x – y)^–10;

4) (y+4)-2(y+4)3 = (y + 4)^–2 • (y + 4)^–3 = (y + 4)^–5;

5) (c+1)-2(c+1)-4 = (c + 1)^–2 • (c + 1)⁴ = (c + 1)²;

6) x5•(x+ y)-3(x+ y)-5•x = x⁴ • (x + y)^–3 • (x + y)⁵ = x⁴ • (x + y)²;

7) m6a-8 : m-2a3 = m6a-8 • a3m-2 = a³ • a⁸ • m⁶ • m² = a¹¹m⁸;

8) 4(a+1)-18c9 : c-2(a+1)-22 = 4(a+1)-18c9 • (a+1)-22c-2 = 4(a+1)-40c7;

9) (x- y)-2y • y-5(x- y)7 • (x- y)5y-3 = y-5•(x- y)3y-2(x- y)7 = y3(x- y)4.