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Nikita090454
@Nikita090454
June 2022
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1)Перечислите шесть делителей числа 1857^2-1482^2
2)Найдите значение выражения без вычеслений в "столбик" и калькулятора
257^2-143^2
73,6^2-26,4^2
(274^2-34^2)/960
(101^2-31^2)/(139^2-29^2)
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Verified answer
1) 1857²-1482²=(1857+1482)(1857-1482)=3339*375=3*3*7*53*3*5*5*5
D={3; 5; 7; 15; 25; 53; 75}
2) 257²-143²=(257-143)(257+143)=(4+253-143)(200+100+57+43)=
=(4+110)*400=(100+10+4)*400=40000+4000+1600=45600
73,6²-26,4²=(73,6+26,4)(73,6-26,4)=100*47,2=4720
(274²-34²)/960=(274-34)(274+34)/960=240*308/960=24*308/96=
=(6*4*4*77)/(2*6*8)=77
(101²-31²)/(139²-29²)=(101-31)(101+31)/[(139-29)(139+29)]=
=(70*132)/(110*168)= (2*5*7*2*6*11)/(2*5*11*2*2*2*3*7)=1/2
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Answers & Comments
Verified answer
1) 1857²-1482²=(1857+1482)(1857-1482)=3339*375=3*3*7*53*3*5*5*5D={3; 5; 7; 15; 25; 53; 75}
2) 257²-143²=(257-143)(257+143)=(4+253-143)(200+100+57+43)=
=(4+110)*400=(100+10+4)*400=40000+4000+1600=45600
73,6²-26,4²=(73,6+26,4)(73,6-26,4)=100*47,2=4720
(274²-34²)/960=(274-34)(274+34)/960=240*308/960=24*308/96=
=(6*4*4*77)/(2*6*8)=77
(101²-31²)/(139²-29²)=(101-31)(101+31)/[(139-29)(139+29)]=
=(70*132)/(110*168)= (2*5*7*2*6*11)/(2*5*11*2*2*2*3*7)=1/2