( 25 - 52 )2
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![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
52+52+52+52+52+...+52 +25+25+25+25+25+25...+25
=(52x 75)+(25x 52)
=3900+1300
=5200
chúc bạn học tốt !
Ta có : 52 + 52 + 52 +...+ 52 + 25 + 25 + ....+ 25
= 75 . 52 + 52 . 25
= 52 . ( 75 + 25 )
= 52 . 100
= 5200
![](https://rs.olm.vn/images/avt/0.png?1311)
\(75.\left(25-52\right)-52.\left(25-75\right)\)
\(=75.25-75.52-52.25+52.75\)
\(=25.\left(75-52\right)\)'
\(=25.23=575\)
75.(25-52)-52.(25-75)
=75.25-75.52-52.25-52.75
=...tự làm đi
Tính nhanh : 52 . (-67) - 52 . ( -43 ) + 24 . ( -48 )
-12.7 + (-8) . 7 + 4 . ( -25) + ( -6 ) . ( -25)
![](https://rs.olm.vn/images/avt/0.png?1311)
Tính nhanh :
52 . (-67) - 52 . (-43) + 24 . (-48)
= 52 . [ (-67) - ( -43) ] + 24 . (-48)
= 52 . (-24) + 24 . (-48)
= (-52) . 24 + 24 . (-48)
= 24 . [ (-52) + (-48) ]
= 24 . (-100)
= - 2400
(-12) . 7 + (-8) . 7 + 4 . (-25) + (-6) . (-25)
= 7 . [ (-12) + (-8) ] + (-100 ) + (-6) . (-25)
= 7 . (-20) - 100 + (-6) . (-25)
= (-140) - 100 + 150
= (-240) + 150
= -90
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) \(103^2=\left(100+3\right)^2=10000+600+9=10609\)
b) \(52\cdot48=\left(50-2\right)\left(50+2\right)=2500-4=2496\)
c) \(75^2-50\cdot75+25^2=\left(75-25\right)^2=50^2=2500\)
\(103^2=\left(100+3\right)^2=100^2+2.3.100+3^2=10000+600+9=10609\)
\(52.48=\left(50+2\right)\left(50-2\right)=50^2-2^2=2500-4=2496\)
\(75^2-50.75+25^2=75^2-25.75-25.75+25^2=75\left(75-25\right)-25\left(75-25\right)=\left(75-25\right)=50^2=2500\)
Ta có: \(\left(2^5-5^2\right)^2=\left(32-25\right)^2=7^2=49\)
( 25 - 52 )2 = ( 32 - 25 )2 = 72 = 49