znanija.com/task/37830419
Доказать делимость
1) 19⁶+19⁵ =19⁵*19¹+ 19⁵= 19⁵(19+1) = 19⁵*20
2) 47⁸-47⁷ =47⁷(47 -1) = 47⁷*46
3) 79¹²+79¹¹ =79¹¹(79 +1) = 79¹¹*8*10
4) 69⁷ +69⁶= 69⁶(69+1) = 69⁶*2*35
5) 5²¹+25¹⁰= 5²¹+(5²)¹⁰=5²¹+5²⁰=5²⁰(5+1)=5²⁰*6
6) 27¹⁰- 3²⁹=(3³)¹⁰-3²⁹=3³⁰- 3²⁹=3²⁹(3 -1) =3²⁹*2
7) 9⁸- 9⁷+9⁶ =-9⁶(9² -9 +1) =9⁶*73
8) 125⁴- 25⁵+5¹¹ =(5³)⁴- (5²)⁵ +5¹¹ = 5¹² - 5¹⁰ +5¹¹ =5¹⁰(5² -1 +5)=5¹⁰*29
9) 54³-24³=(54-24)(54²+54*24+24²)=(54²+54*24+24²)*2*15
54-24 =30 =2*15
10) 79³-29³=(79-29)(79²-79*29+29²)=(79²-79*29+29²)*50
11) 731³-611³=(731-611)(731²-731*611+611²)=(731²-731*611+611²)*120