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I need help pleaseeeee Prove that: 12^13–12^12+12^11 is divisible by 7 and 19. BTW in format ______*7*19 :D

I need help pleaseeeee Prove that: 12^13–12^12+12^11 is divisible by 7 and 19. BTW in format ______*7*19 :D
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3 votes
I need help pleaseeeee Prove that: 12^13–12^12+12^11 is divisible by 7 and 19. BTW in format ______*7*19 :D

asked
User Hamza Zafar
by
7.6k points

1 Answer

2 votes

Each term has a common divisor of
12^(11):


12^(13)-12^(12)+12^(11)=12^(11)(12^2-12+1)=12^(11)\cdot133

133 = 7*19, so the number in the blanks is
12^(11).

answered
User Brent Parker
by
7.8k points
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