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a) \(82^2-18^2=\left(82-18\right)\left(82+18\right)=64.100=6400\)
b) \(26^2+52.24+24^2=26^2+2.26.24+24^2=\left(26+24\right)^2=50^2=2500\)
c) \(\dfrac{93^3+78^3}{171}-93.78=\dfrac{\left(93+78\right)\left(93^2-93.78+73^2\right)}{171}-93.78\)
\(=\dfrac{171\left(93^2-93.78+73^2\right)}{171}-93.78\)
\(=93^2-93.78+73^2-93.78\)
\(=93^2-2.93.78+73^2=\left(93-73\right)^2=20^2=400\)
\(118^2-118.36+18^2\)
\(=118^2-2.118.18+18^2\)
\(=\left(118-18\right)^2\)
\(=100^2=10000\)
\(118^2-118.36+18^2\)
=\(118^2-2.118.18+18^2\)
=\(\left(118-18\right)^2\)
=\(100^2\)
\(41^2+82\times59+59^2=41^2+2\times41\times59+59^2=\left(41+59\right)^2=100^2=10000\)
BÀI NÀY MÌNH ĐƯA VỀ HẰNG ĐẲNG THỨC THỨ 1 NHA : ( A + B ) ^2
41^2 + 89 . 59 . 59^2
= 41^2 + 2 . 41 . 59 + 59^2
= ( 41 + 59 ) ^2 = 100^2 = 1000
a) 51x49
=( 50+1) x(50-1)
=50x50 -1x1
=2500-1=2499
b) 822-812
=(82-81)x (82+81)
=1x 163
=163
\(36^2+24^2+36.48\)
\(=36^2+2.36.24+24^2\)
\(=\left(36+24\right)^2=60^2=3600\)
\(18^2+36^2=324+1296=1620\)
Oh mammamia, hỏi bài trong giờ thi =)
@Nghệ Mạt
#cua
a) \(56^2+44^2+2.56.44=56^2+2.56.44+44^2=\left(56+44\right)^2=100^2=10000\)
b) \(36^2+64^2+72.64=36^2+2.36.64+64^2=\left(36+64\right)^2=100^2=10000\)
c) \(136^2+36^2-72.136=136^2-2.36.136+36^2=\left(136-36\right)^2=100^2=10000\)
a) $56^2+44^2+2.56.44=56^2+2.56.44+44^2=\left(56+44\right)^2=100^2=10000$562+442+2.56.44=562+2.56.44+442=(56+44)2=1002=10000
b) $36^2+64^2+72.64=36^2+2.36.64+64^2=\left(36+64\right)^2=100^2=10000$362+642+72.64=362+2.36.64+642=(36+64)2=1002=10000
c) $136^2+36^2-72.136=136^2-2.36.136+36^2=\left(136-36\right)^2=100^2=10000$
\(=82^2-2.18.82+18^2=\left(82-18\right)^2=64^2=...\)
Để xem, \(64^2=2^{12}=4096\)