8922+892*216+1082
Tinh nhanh +giai thich
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8922 + 892.216 + 1082
= 8922 + 2.892.108 + 1082
= (892 + 108)2
= 10002
= 1000000
b)\(892^2+892.216+108^2=892^2+2.892.108+108^2\\ =\left(892+108\right)^2=1000^2=1000000\)
c)\(10,2.9,8-9,8.0,2+10,2^2-10,2.0,2=9,8.\left(10,2-0,2\right)+10,2.\left(10,2-0.2\right)\\ =9,8.10+10,2.10=98+102=200\)
a: \(2004^2-16\)
\(=\left(2004-4\right)\left(2004+4\right)=2000\cdot2008=4016000\)
b: \(892^2+892\cdot216+108^2\)
\(=892^2+2\cdot892\cdot108+108^2\)
\(=\left(892+108\right)^2=1000^2=1000000\)
c: \(36^2+26^2-52\cdot36\)
\(=36^2-2\cdot36\cdot26+26^2\)
\(=\left(36-26\right)^2=10^2=100\)
d: \(\left(10,2\cdot9,8-9,8\cdot0,2\right)+\left(10,22-10,2\cdot0,2\right)\)
\(=9,8\left(10,2-0,2\right)+10,22-2,04\)
=98+8,18
=106,18
e: \(20,03\cdot45+20,03\cdot47+20,03\cdot8\)
\(=20,03\cdot\left(45+47+8\right)\)
\(=20,03\cdot100=2003\)
g: \(15,75\cdot175-15,75\cdot55-15,75\cdot20\)
\(=15,75\cdot\left(175-55-20\right)\)
\(=15,75\cdot100=1575\)
h: \(A=57^2+114\cdot43+43^2\)
\(=57^2+2\cdot57\cdot43+43^2\)
\(=\left(57+43\right)^2=100^2=10000\)
i: \(B=5^4\cdot3^4-\left(15^2-1\right)\left(15^2+1\right)\)
\(=15^4-\left(15^4-1\right)=1\)
k: \(C=50^2-49^2+48^2-47^2+\cdots+2^2-1^2\)
\(=\left(50-49\right)\left(50+49\right)+\left(48-47\right)\left(48+47\right)+\cdots+\left(2-1\right)\left(2+1\right)\)
=50+49+...+2+1
\(=50\cdot\frac{51}{2}=25\cdot51=1225\)
a: \(2004^2-16=2000\cdot2008=4016000\)
b: \(892^2+892\cdot216+108^2=1000^2=1000000\)
c: \(36^2-52\cdot36+26^2=10^2=100\)
\(a,2004^2-16=2004^2-4^2=\left(2004-4\right)\left(2004+4\right)=2000.2008=4016000\)\(b,892^2+892.216+108^2=892^2+2.892.108+108^2=\left(892+108\right)^2=1000^2=1000000\)\(c,10,2.9,8-9,8.02+10,2^2-10,2.0,2=9,8\left(10,2-0,2\right)+10,2\left(10,2-0,2\right)=9,8.10+10,2.10=98+102=200\)\(d,36^2+26^2-52.36=36^2-2.36.26+26^2=\left(36-26\right)^2=10^2=100\)\(e,99^3+1+3.\left(99^2+99\right)=99^3+3.99^2+3.99+1^3=\left(99+1\right)^3=100^3=1000000\)
\(f.37.43=\left(40-3\right)\left(40+3\right)=40^2-3^2=1600-9=1591\)
a) \(2004^2-16=2004^2-4^2=\left(2004-4\right)\left(2004+4\right)=2000.2008=4016000\)
b) \(892^2+892.216+108^2\)\(=892^2+2.892.108+108^2\)
\(=\left(892+108\right)^2\)
\(=1000^2=1000000\)
c) \(10,2.9,8-9,8.0,2+10,2^2-10,2.0,2\)\(=9,8\left(10,2-0,2\right)+10,2\left(10,2-0,2\right)\)
\(=9,8.10+10,2.10\)
\(=98+102=200\)
d) \(36^2+26^2-52.36=36^2-2.36.26+26^2\)
\(=\left(36-26\right)^2=10^2=100\)
g) \(20,03.45+20,03.47+20,03.8\)\(=20,03.\left(45+47+8\right)\)
\(=20,03.100=2003\)
h)\(15,75.175-15,75.55-15,75.20\)\(=15,75.\left(175-55-20\right)\)
\(=15,75.100=1575\)
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