a) 1012 = (100+1)^2 = 100^2 + 200 + 1 = 10 000 + 200 +1 = 10 201
b) 1992 = (200 -1)^2 = 200^2 - 400 +1 = 40 000 - 400 +1 = 39 601
; c) 47.53 = (50-3) (50+3) = 50^2 - 3^2= 2500 -9 =2491
a) \(\left(100+1\right)^2=100^2+2\times100\times1+1^2=10000+200+1=10201\)
b)\(=\left(200-1\right)^2=200^2-2\times200\times1+1^2=40000-200+1=39801\)
c)\(=\left(50-3\right)\times\left(50+3\right)=50^2-3^2=2491\)
\(101^2=\left(100+1\right)^2=100^2+2.100.1+1^2=10000+200+1=10201\)
\(199^2=\left(200-1\right)^2=200^2-2.200.1+1^2=40000-400+1=39601\)
\(47.53=\left(50-3\right).\left(50+3\right)=50^2-3^2=2500-9=2491\)