Ответ:
Пошаговое объяснение:
1) [tex]38^{2}[/tex] - [tex]28^{2}[/tex] = (38-28)(38+28)=10*66=660
2)[tex]74^{2}[/tex]-[tex]26^{2}[/tex] =(74-26)(74+26)=48*100=4800
3)[tex]54^{2}[/tex]-[tex]44^{2}[/tex]=(54-44)(54+44)=10*98=980
4)[tex]165^{2}[/tex]-[tex]65^{2}[/tex] = (165-65)(165+65)=100*230=23000
5)[tex]248^{2}[/tex]-[tex]152^{2}[/tex] = (248-152)(248+152)=96*400=96*100*4=9600*4=38400
6) [tex]74.6^{2}[/tex]-[tex]24.4^{2}[/tex] =(74.6-24.4)(74.6+24.4)=50.2*99=50.2*100-50.2=5020-50.2=4969.8
7)[tex]42.4^{2}[/tex]-[tex]42.3^{2}[/tex] = (42.4-42.3)(42.4+42.3)=0.1*84.7=8.47
8) [tex](8\frac{3}{4}) ^{2}[/tex] - [tex](1\frac{1}{4} )^{2}[/tex] = (8[tex]\frac{3}{4}[/tex] - 1[tex]\frac{1}{4}[/tex])(8[tex]\frac{3}{4}[/tex] + 1[tex]\frac{1}{4}[/tex])=([tex]\frac{35}{4}[/tex]-[tex]\frac{5}{4}[/tex])([tex]\frac{35}{4}[/tex]+[tex]\frac{5}{4}[/tex]) = [tex]\frac{30}{4}[/tex]*[tex]\frac{40}{4}[/tex]=[tex]\frac{30*10}{4}[/tex]=[tex]\frac{300}{4}[/tex]=75
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Ответ:
Пошаговое объяснение:
1) [tex]38^{2}[/tex] - [tex]28^{2}[/tex] = (38-28)(38+28)=10*66=660
2)[tex]74^{2}[/tex]-[tex]26^{2}[/tex] =(74-26)(74+26)=48*100=4800
3)[tex]54^{2}[/tex]-[tex]44^{2}[/tex]=(54-44)(54+44)=10*98=980
4)[tex]165^{2}[/tex]-[tex]65^{2}[/tex] = (165-65)(165+65)=100*230=23000
5)[tex]248^{2}[/tex]-[tex]152^{2}[/tex] = (248-152)(248+152)=96*400=96*100*4=9600*4=38400
6) [tex]74.6^{2}[/tex]-[tex]24.4^{2}[/tex] =(74.6-24.4)(74.6+24.4)=50.2*99=50.2*100-50.2=5020-50.2=4969.8
7)[tex]42.4^{2}[/tex]-[tex]42.3^{2}[/tex] = (42.4-42.3)(42.4+42.3)=0.1*84.7=8.47
8) [tex](8\frac{3}{4}) ^{2}[/tex] - [tex](1\frac{1}{4} )^{2}[/tex] = (8[tex]\frac{3}{4}[/tex] - 1[tex]\frac{1}{4}[/tex])(8[tex]\frac{3}{4}[/tex] + 1[tex]\frac{1}{4}[/tex])=([tex]\frac{35}{4}[/tex]-[tex]\frac{5}{4}[/tex])([tex]\frac{35}{4}[/tex]+[tex]\frac{5}{4}[/tex]) = [tex]\frac{30}{4}[/tex]*[tex]\frac{40}{4}[/tex]=[tex]\frac{30*10}{4}[/tex]=[tex]\frac{300}{4}[/tex]=75