1. Упростите выражения:
a) (2x + 1)(x – 1) = 2x2 – 2x + x – 1 = 2x2 – x – 1
б) (3 – y2)(y – 4) = 3y – 12 – y3 + 4y2 = -y3 + 4y2 + 3y – 12
в) a2 + (2 – a)(a + 5) = a2 + 2a + 10 – a2 – 5a = -3a + 10
г) (b – 1)(b2 + b – 2) = b3 + b2 – 2b – b2 – b + 2 = b3 – 3b + 2
Ответ: a) 2x2 – x – 1; б) -y3 + 4y2 + 3y – 12; в) -3a + 10; г) b3 – 3b + 2