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【正文】 )+(a?2b)2 = [( 2a+3b)?(a?2b)]2 = (a+5b)2 = a2+10ab+25b2 2. 解: ① 20212 = (2021+4)2 = 20212+2?2021?4+42 = 4000000+16000+16 = 4016016 ② = (1000?)2 = (1000)2?21000+()2 = 1000000?400+ = ③ (2+1)(22+1)(24+1)(28+1)(216+1)+1 = (2?1)(2+1)(22+1)(24+1)(28+1)(216+1)+1 = (22?1)(22+1)(24+1)(28+1)(216+1)+1 = (24?1)(24+1)(28+ 1)(216+1)+1[來源 :Z_ x x _ k .Co m] = (28?1)(28+1)(216+1)+1 = (216?1)(216+1)+1 = 232?1+1 = 232. 。 k .Co m] 3. 答案: D 說明: ( 2a+b)( 2a?b) = ( 2a)2?b2 = 4a2?b2, A 錯(cuò); (+)(?) = ()2? = ?, B 錯(cuò); (a2+3b3)(3b3?a2) = (3b3)2?(a2)2 = 9b6?a4, C 錯(cuò);( 3a?bc)(?bc? 3a) = (?bc)2?( 3a)2 = b 2c2? 9a2 = ? 9a2+b 2c2, D 正確;所以答案為D. 4. 答案: C 說明:
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