La diffrence de carrs Cette mthode de factorisation est utilise lorsque nous sommes en prsence de deux termes qui sont levs au carr. La diffrence de carrs : Soit l'expression . Par le signe - on reconnait la diffrence et l'on remarque que les deux termes sont levs au carr. 1. On extrait la racine carr de chacun des deux termes.   et  2. On crit le produit des deux binmes dont l'un est la somme des racines et l'autre la diffrence des racines.  Ex.1 Soit  . 1. On extrait les racines carrs :  et . 2. On crit le produit de la diffrence et de la somme des termes :  Ex.2 Soit  . 1. On extrait les racines carrs :  et  . 2. On crit le produit de la diffrence et de la somme des termes :  La thorie se retrouve dans le manuel Scnarios aux pages 92 95. 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530d0000 79536474 6c6f626d 646c6f42 1 1 80010000 0 0 0 0 190 1000001 7 656d6954 654e2073 6f522077 6e616d 0 0 0 0 ff ffffff 78 64 64745309 6c617449 16369 10000 0 8001 0 0 0 2bc0000 10000 70100 69540000 2073656d 2077654e 616d6f52 6e 0 0 0 ff0000 ffff0000 7800ff 640000 530d0000 74496474 63696c61 646c6f42 1 1 80010000 0 0 0 0 190 1000000 7 4d204954 687461 0 0 0 0 0 0 ff ffffff 78 64 64745305 14954 10000 0 8001 0 0 0 2bc0000 0 70100 49540000 74614d20 68 0 0 0 0 0 ff0000 ffff0000 7800ff 640000 53090000 49546474 646c6f42 1 1 30000 50004 70006 5540008 cb0000 710000 0 0 0 1 0 1ffff 47430009 6870796c 646c6f43 8f000004 71000000 0 ff000000 ff 100 0 ff000100 90001ff 6c474300 52687079 464776f 8f0000 710000 0 ffff0000 0 1 0 ffff0014 a0001 796c4743 68436870 267261 8f0000 710000 0 ffff0000 1 1 0 5a800d49 8f000000 71000000 0 ff000000 1ff 100 0 800d4e00 44 8f 71 0 1ffff 10000 0 d500000 5380 8f00 7100 0 1ffff00 1000000 0 55000000 44800d 8f0000 710000 0 ffff0000 1 1 0 1e800d54 8f000000 71000000 0 ff000000 1ff 100 0 800d2000 44 8f 71 0 1ffff 10000 0 d450000 4b80 8f00 7100 0 1ffff00 1000000 0 52000000 4b800d 8f0000 710000 0 ffff0000 1 1 0 5a800d52 8f000000 71000000 0 ff000000 1ff 100 0 800d4f00 4b 8f 71 0 1ffff 10000 0 d520000 1780 8f00 7100 0 1ffff00 1000000 0 3a000000 1e800d 8f0000 710000 0 ffff0000 1 1 0 44800d20 8f000000 71000000 0 ff000000 1ff 100 0 800d5300 35 8f 71 0 1ffff 10000 0 d790000 3580 8f00 7100 0 1ffff00 1000000 0 6e000000 1e800d 8f0000 710000 0 ffff0000 1 1 0 35800d74 8f000000 71000000 0 ff000000 1ff 100 0 800d6100 35 8f 71 0 1ffff 10000 0 ff780000 a0001ff 6c474300 54687079 16d7265 8f000000 ff000000 ffffff ff000000 1ff 100 0 0 0 ff000000 140001ff 6c474300 53687079 6c706d69 6d6f4365 65736f70 72 0 115800 ffffc400 13ff 1300 1300 1300 0 0 0 0 0 1ffff00 1000000 0 0 0 1000000 0 3000000 0"2f 41 0 0 0 0 3601 0 10000 0 0 0 0d@@sqrt((b)^(2)) =Times New Roman INPUT ERROR: SyntaxTimes New Roman W   * 99.Times New Roman- - "-,Times New Roman- --!2u- --!b@8! @!=@! @''<f0@dd,;7 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8f000000 ff000000 ffffff ff000000 1ff 100 0 0 0 13000000 100 100 100 100 0 0 0 0 0 1ffff00 1000000 0 0 0 1000000 0 3000000 0"2f 41 0 0 0 0 3601 0 10000 0 0 0 0d@@bTimes New Roman bTimes New Roman      @@.Times New Roman- - "-!a''fo0\@ddw;&7& CTxobjItem%&ࡱ>  Root EntryZn@3wf?ContentsOlePres0004rc71 64 64 1 1 1 0 ffff0007 b0002 796c4743 74536870 b1656c79 ffffff 0 0 90000000 1 7010000 54000000 73656d69 77654e20 6d6f5220 6e61 0 0 0 0 ff00ff00 7800ffff 64000000 8000000 6e617453 64726164 0 1 80010006 0 0 0 0 190 1000000 7 626d7953 6c6f 0 0 0 0 0 0 ff0000 ffffff 78 64 64745309 626d7953 16c6f 10000 0 8001 0 0 0 2bc0000 0 70100 79530000 6c6f626d 0 0 0 0 0 0 0 ffff00ff 7800ff 640000 530d0000 79536474 6c6f626d 646c6f42 1 1 80010000 0 0 0 0 190 1000001 7 656d6954 654e2073 6f522077 6e616d 0 0 0 0 ff0000 ffffff 78 64 64745309 6c617449 16369 10000 0 8001 0 0 0 2bc0000 10000 70100 69540000 2073656d 2077654e 616d6f52 6e 0 0 0 0 ffff00ff 7800ff 640000 530d0000 74496474 63696c61 646c6f42 1 1 80010000 0 0 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0 0 0 0 0 ff ffffff 78 64 64745305 14954 10000 0 8001 0 0 0 2bc0000 0 70100 49540000 74614d20 68 0 0 0 0 0 ff0000 ffff0000 7800ff 640000 53090000 49546474 646c6f42 1 1 30000 50004 70006 5540008 cb0000 710000 0 0 0 1 0 1ffff 47430009 6870796c 646c6f43 8f000004 71000000 0 ff000000 ff 100 0 ff000100 90001ff 6c474300 52687079 464776f 8f0000 710000 0 ffff0000 0 1 0 ffff0014 a0001 796c4743 68436870 267261 8f0000 710000 0 ffff0000 1 1 0 5a800d49 8f000000 71000000 0 ff000000 1ff 100 0 800d4e00 44 8f 71 0 1ffff 10000 0 d500000 5380 8f00 7100 0 1ffff00 1000000 0 55000000 44800d 8f0000 710000 0 ffff0000 1 1 0 1e800d54 8f000000 71000000 0 ff000000 1ff 100 0 800d2000 44 8f 71 0 1ffff 10000 0 d450000 4b80 8f00 7100 0 1ffff00 1000000 0 52000000 4b800d 8f0000 710000 0 ffff0000 1 1 0 5a800d52 8f000000 71000000 0 ff000000 1ff 100 0 800d4f00 4b 8f 71 0 1ffff 10000 0 d520000 1780 8f00 7100 0 1ffff00 1000000 0 3a000000 1e800d 8f0000 710000 0 ffff0000 1 1 0 44800d20 8f000000 71000000 0 ff000000 1ff 100 0 800d5300 35 8f 71 0 1ffff 10000 0 d790000 3580 8f00 7100 0 1ffff00 1000000 0 6e000000 1e800d 8f0000 710000 0 ffff0000 1 1 0 35800d74 8f000000 71000000 0 ff000000 1ff 100 0 800d6100 35 8f 71 0 1ffff 10000 0 ff780000 a0001ff 6c474300 54687079 16d7265 8f000000 ff000000 ffffff ff000000 1ff 100 0 0 0 ff000000 140001ff 6c474300 53687079 6c706d69 6d6f4365 65736f70 72 0 115800 ffffc400 13ff 1300 1300 1300 0 0 0 0 0 1ffff00 1000000 0 0 0 1000000 0 3000000 0"2f 41 0 0 0 0 3601 0 10000 0 0 0 0d@@(a)^(2) - (b)^(2) =Times New Roman INPUT ERROR: SyntaxTimes New Roman  4d 2  < .Times New Roman- - "-Times New Roman- --!26- --!a"! "d!-"! "- --!2 - --!b"! "8!="V! 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