Question

99 .формулы сокращённого умножения. на каждую по 20 примеров.хотябы на нес колько формул кто что сможет! всего 140 примеров..эт ужас.. мне это степень.

Answer 1

По 2 формуле (с+8)^2

Answer 2

a^2-b^2=(a-b)(a+b)

53^2 - 27^2 = (53 - 27)(53+27) = 26*80 = 2080
79^2 - 51^2 = (79-51)(79+51) = 28*130 = 3640
49^2 - 36^2= (49 - 36)(49+36) = 13*85 = 1105
58^2 - 42^2 = (58 - 42)(58+42) = 16* 100 = 1600
120^2 - 55^2 = (120-55)(120+55) = 65* 1745=11375
77^2 - 65^2= (77 - 65)(77+65) = 12*142 = 1704
35^2 - 14^2 = (35-14)(35+14) = 21*49=1029
42^2 - 22^2 = (42-22)(42+22) = 20*64=1280
15^2-6^2=(15-6)(15+6)= 9*21=189
31^2-23^2= (31-23)(31+23)= 8*54=432

(a+b)^2=a^2+2ab+b^2

(40+1)^2 = 40^2 + 2*40*1 + 1^2 = 1600 + 80 + 1 = 1681
(52 + 3)^2 = 52^2 + 2*52*3 + 3^2 = 2704 +312 +9 =  3025
(35 + 13)^2 = 35^2 + 2*35*12 + 13^2 = 1225 + 840 + 169 = 2234
(21 + 9)^2 = 21^2 + 2*21*9 + 9^2 = 441 + 378 + 81 = 900
(11 + 13)^2 = 11^2 + 2*11*13 + 13^2 = 121 + 286 + 169 = 576
(123 + 39)^2 = 123^2 + 2*123*39 + 39^2= 156129 + 9594 + 1521 = 167244
(55 + 19)^2 = 55^2 + 2*55*19 + 19^2 = 3025 + 2090 + 361 = 5476
(67 + 14)^2 = 67^2 + 2*67*14 + 14^2 = 4489 + 1876 + 196 = 6561
(98 + 3)^2 = 98^2 + 2*98*3 + 3^2 = 9604 + 588 + 9 = 10201
(83 + 19)^2 = 83^2 + 2*83*19 + 19^2 = 6889 + 3154 + 361 = 10404

(a-b)^2=a^2-2ab+b^2

(40-1)^2 = 40^2 - 2*40*1 + 1^2 = 1600 - 80 + 1 = 1521

(52 - 3)^2 = 52^2 - 2*52*3 + 3^2 = 2704 -312 +9 = 2401
(35 - 13)^2 = 35^2 - 2*35*12 + 13^2 = 1225 - 840 + 169 = 554
(21 - 9)^2 = 21^2 - 2*21*9 + 9^2 = 441 - 378 + 81 =  144
(11 - 13)^2 = 11^2 - 2*11*13 + 13^2 = 121 - 286 + 169 = 4
(123 - 39)^2 = 123^2 - 2*123*39 + 39^2= 156129 - 9594 + 1521 = 148056
(55 - 19)^2 = 55^2 - 2*55*19 + 19^2 = 3025 - 2090 + 361 = 1296
(67 - 14)^2 = 67^2 - 2*67*14 + 14^2 = 4489 - 1876 + 196 = 2809
(98 -3)^2 = 98^2 - 2*98*3 + 3^2 = 9604 - 588 + 9 = 9025
(83 - 19)^2 = 83^2 - 2*83*19 + 19^2 = 6889 - 3154 + 361 = 4096

(a+b)^3=a^3+3a^2b+3ab^2+b^3

(40 +1)^3 = 40^3 + 3*40^2*1 + 3*40*1^2 + 1^3 = 64000+4800+120+1 = 68921
(52+3)^3 = 52^3+3*52^2*3+3*52*3^2 + 3^3=140608+24336+1404+27=166375
(35+13)^3=35^3+3*35^2*13+3*35*13^2+13^3=42875+47775+17745+2197 = =109992
(21 +9)^3=21^3+3*21^2*9+3*21**9^2+9^3= 9261+11907+5103+729=27000
(11+13)^3= 11^3+3*11^2*13+3*11*13^2+13^3=1331+4719+5577+2197=13824
(12 +9)^3= 12^3+3*12^2*9+3*12*9^2+9^3= 1728+3888+2916+729=9261
(25 +8)^3= 25^3+3*25^2*8+3*25*8^2+8^3= 15625+15000+4800+512=35937
(6+7)^3 =6^3+3*6^2+7+3*6*7^2+7^3=216+756+882+343=2197
(9+13)^3 = 9^3+3*9^2*13+3*9*13^2+13^3=729+3159+4563+2197=10648
(8+11)^3 = 8^3+3*8^2*11+3*8*11^2+11^3=512+2112+2904+1331=6859

(a-b)^3=a^3-3a^2b+3ab^2-b^3

(40 -1)^3 = 40^3 - 3*40^2*1 + 3*40*1^2 - 1^3 = 64000-4800+120-1 =59319
(52-3)^3 = 52^3-3*52^2*3+3*52*3^2 - 3^3=140608-24336+1404-27=117649
(35-13)^3=35^3-3*35^2*13+3*35*13^2-13^3=42875-47775+17745-2197=10648
(21 -9)^3=21^3-3*21^2*9+3*21**9^2-9^3= 9261-11907+5103-729=1728
(11-13)^3= 11^3-3*11^2*13+3*11*13^2-13^3=1331-4719+5577-2197=-8
(12 -9)^3= 12^3-3*12^2*9+3*12*9^2-9^3= 1728-3888+2916-729=27
(25 -8)^3= 25^3-3*25^2*8+3*25*8^2-8^3= 15625-15000+4800-512=4913
(6-7)^3 =6^3-3*6^2+7+3*6*7^2-7^3=216-756+882-343=-1
(9-13)^3 = 9^3-3*9^2*13+3*9*13^2-13^3=729-3159+4563-2197=-64
(8-11)^3 = 8^3-3*8^2*11+3*8*11^2-11^3=512-2112+2904-1331=-27


a^3+b^3=(a+b)(a^2-ab+b^2)

3^3+ 5^3= (3+5)(3^2-3*5+5^2)= 8*(27-15+25)=8*37=296
9^3+4^3=(9+4)(9^2-9*4+4^2)=13*(81-36+16)=13*61=793
7^3+2^3=(7+3)(7^2-7*2+2^2)=10*(40-14+4)=10*30=300
6^3+8^3=(6+8)(6^2-6*8+8^2)=14*(36-48+64)=14*52=728
2^3+11^3=(2+11)(2^2-2*11+11^2)= 13*(4-22+121)=13*103=1339
12^3+7^3=(12+7)(12^2-12*7+7^2)=19*(144-84+49)=19*109=2071
15^3+11^3=(15+11)(15^2-15*11+11^2)=26*(225-165+121)=26*181=4706
13^3+12^3=(13+12)(13^2-13*12+12^2)=25*(169-156+144)=25*157=3925
14^3+16^3=(14+16)(14^2-14*16+16^2)= 30*(196-224+256)=30*228=6840
19^3+18^3=(19+18)(19^2-19*18+18^2)= 37*(361-342+324)=37*342=12691

a^3-b^3=(a-b)(a^2+ab+b^2)

6^3- 5^3= (6-5)(6^2+6*5+5^2)= 1*(36+30+25)=1*91=91
9^3-4^3=(9-4)(9^2+9*4+4^2)=5*(81+36+16)=5*133=665
7^3-2^3=(7-3)(7^2+7*2+2^2)=7*(40+14+4)=7*58=406
6^3-3^3=(6-3)(6^2+6*3+3^2)=3*(36+18+9)=3*63=189
22^3-11^3=(22-11)(22^2+22*11+11^2)= 11*(484+242+121)=11*847=9317
12^3-7^3=(12-7)(12^2+12*7+7^2)=5*(144+84+49)=5*277=1385
15^3-11^3=(15-11)(15^2+15*11+11^2)=4*(225+165+121)=4*511=2044
13^3-9^3=(13-9)(13^2+13*9+9^2)=4*(169+117+81)=4*367=1468
16^3-14^3=(16-14)(16^2+16*14+14^2)= 2*(256+224+196)=2*676=1352
19^3-15^3=(19-15)(19^2+19*15+15^2)= 4*(361+285+225)=4*871=3484