Oblicz korzystając z wzorów skróconego mnożenia   11^2= 39^2= 71^2= 29^2= 102^2= 97^2= 998^2= 1003^2= 27*33= 18*27= 26*34= 95*105= 35*45=

11^2=(10+1)^2=10^2+2*10*1+1^2=100+20+1=121 39^2=(40-1)^2=40^2-2*40+1^2=1600-80+1=1521 71^2=(70+1)^2=4900+140+1=5041 29^2=(30-1)^2=900-60+1=841 102^2=(100+2)^2=10000+400+4=10402 97^2=(100-3)^2=10000-600+9=9409 998^2=(1000-2)^2=1000000-4000+4=996004 1003^2=(1000+3)^2=1000000+6000+9=1006009 27*33=(30-3)*(30+3)=30^2-3^2=900-9=891 26*34=(30-4)*(30+4)=30^2-4^4=900-16=884 95*105=(100-5)*(100+5)=10000-25=9975 35*45=(40-5)*(40+5)=1600-25=1575

[latex]\11^2=(10+1)^2=100+2*10+1=121 \39^2=(40-1)^2=1600-80+1=1521 \71^2=(70+1)^2=4900+140+1=5041 \29^2=(30-1)^2=900-60+1=841 \102^2=(100+2)^2=10000+400+4 = 10404 \97^2=(100-3)^2=10000-600+9=9409 \998^2=(1000-2)^2=1000000-4000+4=996004 \1003^2=(1000+3)^2=1000000+6000+9=1006009 \27*33=(30-3)(30+3)=30^2-3^2=900-9=891 [/latex] [latex]\18*27=18*(18+9)=18^2+18*9= \(20-2)^2+18*(10-1) = 400-80+4+180-18= \500-14=486 \26*34=(30-4)*(30+4)=900-16=884 \95*105=(100-5)*(100+5) = 10000-25=9975 \35*45=(40-5)(40+5)=1600-25=1575[/latex]