【正文】
析】由題意得: 2 ( - 2) = 2 (1 + 2) = 6 ,故 ①正確; a b = a (1 - b ) = a - ab , b a = b (1 - a ) = b - ab ,兩者不一定相等,故 ② 錯(cuò)誤; a a + b b = a (1 - a ) + b (1- b ) = a + b - a2- b2= ( a + b ) - ( a + b )2+ 2 ab , ∵ a + b = 0 ,∴ 原式= 2 ab ,故 ③ 正確; ∵ a b = a (1 - b ) = 0 , ∴ a = 0或 b = 1 ,故 ④ 正確. 1 . 在下列各式中,計(jì)算正確的是 ( ) A . ( - 3 x )(2 x2+ 3 x + 1) = 6 x3- 9 x2+ 3 x B . 43a (34a2- 3 a - 1) = a3- 4 a2- 1 C .- a ( a2- 2 a - 1) =- a3+ 2 a2- a D . ( - 5 x )(2 x2- 3 x + 1) =- 10 x3+ 15 x2- 5 x D 2 . (201 7 a4= a2 B . (2 a2)3= 6 a6 C . 3 a3- 2 a2= a D . 3 a (1 - a ) = 3 a - 3 a2 D 3 . 要使 x ( x + a ) + 3 x - 2 b = x2+ 5 x + 4 成立,則 a 、 b的值分別為