Giải thích các bước giải:

\[\begin{array}{l}
a,\\
{2004^2} - 16 = {2004^2} - {4^2} = \left( {2004 - 4} \right).\left( {2004 + 4} \right) = 2000.2008 = 4016000\\
b,\\
{892^2} + 892.216 + {108^2} = {892^2} + 2.892.108 + 108 = {\left( {892 + 108} \right)^2} = {1000^2}\\
c,\\
10,2.9,8 - 9,8.0,2 + 10,{2^2} - 10,2.0,2 = 9,2.\left( {10,2 - 0,2} \right) + 10,2\left( {10,2 - 0,2} \right)\\
 = 9,2.10 + 10.10,2 = 10\left( {9,8 + 10,2} \right) = 10.20 = 200\\
d,\\
{36^2} + {26^2} - 52.36 = {36^2} - 2.36.26 + {26^2} = {\left( {36 - 26} \right)^2} = {10^2} = 100\\
e,\\
{99^3} + 1 + 3.\left( {{{99}^2} + 99} \right) = {99^3} + {3.99^2}.1 + {3.99.1^2} + {1^3} = {\left( {99 + 1} \right)^3} = {100^3} = 1000000\\
f,\\
37.43 = \left( {40 - 3} \right)\left( {40 + 3} \right) = {40^2} - {3^2} = 1600 - 9 = 1591\\
g,\\
20,03.45 + 20,03.47 + 20,03.8\\
 = 20,03\left( {45 + 47 + 8} \right) = 20,03.100 = 2003\\
h,\\
15,75.175 - 15,75.55 - 15.75.20\\
 = 15,75\left( {175 - 55 - 20} \right) = 15,75.100 = 1575
\end{array}\] 

Đáp án:20042−16=20042−42=(2004−4).(2004+4)=2000.2008=4016000b,8922+892.216+1082=8922+2.892.108+108=(892+108)2=10002c,10,2.9,8−9,8.0,2+10,22−10,2.0,2=9,2.(10,2−0,2)+10,2(10,2−0,2)=9,2.10+10.10,2=10(9,8+10,2)=10.20=200d,362+262−52.36=362−2.36.26+262=(36−26)2=102=100e,993+1+3.(992+99)=993+3.992.1+3.99.12+13=(99+1)3=1003=1000000f,37.43=(40−3)(40+3)=402−32=1600−9=1591g,20,03.45+20,03.47+20,03.8=20,03(45+47+8)=20,03.100=2003h,15,75.175−15,75.55−15.75.20=15,75(175−55−20)=15,75.100=1575a,20042−16=20042−42=(2004−4).(2004+4)=2000.2008=4016000b,8922+892.216+1082=8922+2.892.108+108=(892+108)2=10002c,10,2.9,8−9,8.0,2+10,22−10,2.0,2=9,2.(10,2−0,2)+10,2(10,2−0,2)=9,2.10+10.10,2=10(9,8+10,2)=10.20=200d,362+262−52.36=362−2.36.26+262=(36−26)2=102=100e,993+1+3.(992+99)=993+3.992.1+3.99.12+13=(99+1)3=1003=1000000f,37.43=(40−3)(40+3)=402−32=1600−9=1591g,20,03.45+20,03.47+20,03.8=20,03(45+47+8)=20,03.100=2003h,15,75.175−15,75.55−15.75.20=15,75(175−55−20)=15,75.100=1575 

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