Đáp án + Giải thích các bước giải:
`a)` `37^2+2*37*13+13^2=(37+13)^2=50^2=2500`
`b)` `51,7^2-2*51,7*31,7+31,7^2=(51,7-31,7)^2=20^2=400`
`c)` `(31,8)^2-2*31,8*21,8+(21,8)^2=(31,8-21,8)^2=10^2=100`
`d)` `2001^2=(2000+1)^2`
`=2000^2+2*2000*1+1^2=4000000+4000+1=4004001`
`e)` `1999^2=(2000-1)^2=2000^2-2*2000*1+1^2`
`=4000000-4000+1=3996001`
`f)` `37*43=(40-3)(40+3)=40^2-3^2=1600-9=1591`
`g)` `20,1*19,9=(20+0,1)(20-0,1)=20^2-(0,1)^2`
`=400-0,01=399,99`
`h)` `29,9*30,1=(30-0,1)(30+0,1)=30^2-(0,1)^2`
`=900-0,01=899,99`.